Answer :
To solve the proportion [tex]\(\frac{45}{60} = \frac{9}{b}\)[/tex], we can use cross-multiplication. Here's a step-by-step explanation:
1. Set up the equation using cross-multiplication: Multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction. This gives:
[tex]\[
45 \times b = 60 \times 9
\][/tex]
2. Calculate the right side: Compute the product on the right side of the equation:
[tex]\[
60 \times 9 = 540
\][/tex]
3. Solve for [tex]\(b\)[/tex]: To isolate [tex]\(b\)[/tex], divide both sides of the equation by 45:
[tex]\[
b = \frac{540}{45}
\][/tex]
4. Calculate the result: Perform the division to find the value of [tex]\(b\)[/tex]:
[tex]\[
b = 12
\][/tex]
Therefore, the solution to the proportion is [tex]\(b = 12\)[/tex].
1. Set up the equation using cross-multiplication: Multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction. This gives:
[tex]\[
45 \times b = 60 \times 9
\][/tex]
2. Calculate the right side: Compute the product on the right side of the equation:
[tex]\[
60 \times 9 = 540
\][/tex]
3. Solve for [tex]\(b\)[/tex]: To isolate [tex]\(b\)[/tex], divide both sides of the equation by 45:
[tex]\[
b = \frac{540}{45}
\][/tex]
4. Calculate the result: Perform the division to find the value of [tex]\(b\)[/tex]:
[tex]\[
b = 12
\][/tex]
Therefore, the solution to the proportion is [tex]\(b = 12\)[/tex].
