#### Answer

$x=15$

#### Work Step by Step

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}