The polygons are similar but not necessarily drawn to scale. What is the value of x?
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Since the polygons are similar, we can set up a proportion:
$\frac{9}{x}=\frac{12}{15}$
Cross-multiplying, we get:
$12x=135$
Dividing by 12, we get:
$x=11.25$
Therefore, the value of $x$ is 11.25.