[tex]\begin{gathered} \frac{4}{5}=\frac{9}{x} \\ \text{Solve for x:} \\ \text{Multiply both sides by x:} \\ \frac{4x}{5}=9 \\ \text{Multiply both sides by 5:} \\ 4x=45 \\ \text{Divide both sides by 4:} \\ \frac{4x}{4}=\frac{45}{4} \\ x=\frac{45}{4} \\ \end{gathered}[/tex]
