Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 148: 22

$x=15$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{x}{9}=\dfrac{5}{3} ,$ is \begin{array}{l}\require{cancel} x(3)=9(5) \\\\ 3x=45 \\\\ x=\dfrac{45}{3} \\\\ x=15 .\end{array}