Answer :

To solve the problem [tex]\(3r = 4s\)[/tex] for [tex]\(\frac{r}{s}\)[/tex], let's go through the steps:

1. We start with the given equation:
[tex]\[
3r = 4s
\][/tex]

2. We want to find the ratio [tex]\(\frac{r}{s}\)[/tex]. To do this, we need to express [tex]\(r\)[/tex] in terms of [tex]\(s\)[/tex] or vice versa. Let's manipulate the equation to solve for [tex]\(\frac{r}{s}\)[/tex].

3. Divide both sides of the equation by [tex]\(3s\)[/tex]:
[tex]\[
\frac{3r}{3s} = \frac{4s}{3s}
\][/tex]

4. Simplify both sides of the equation:
[tex]\[
\frac{r}{s} = \frac{4}{3}
\][/tex]

So, the value of [tex]\(\frac{r}{s}\)[/tex] is [tex]\(\frac{4}{3}\)[/tex], which equals approximately 1.3333 when expressed as a decimal.

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