ANSWER
The correct answer is
[tex] \frac{4}{3} [/tex]
EXPLANATION
The given equation is
[tex] \frac{3}{4} x = 9[/tex]
We multiply both sides of the equation the reciprocal of
[tex] \frac{3}{4} [/tex]
to obtain,
[tex] \frac{4}{3} \times \frac{3}{4} x = 9 \times \frac{4}{3} [/tex]
This simplifies to
[tex]x = 3 \times \frac{4}{1} [/tex]
[tex]x =12[/tex]