To find the equivalent ratio of 12:9 in the form of 4:x, we first simplify the ratio 12:9.
12:9 simplifies to 4:3 when we divide both numbers by 3.
Now we want to set up the ratio 4:x. Since we already have 4 from the simplified ratio 4:3, we can find the value of x.
Given that the ratio 4:3 is equivalent to 4:x:
4/3 = 4/x
To solve for x, we can cross-multiply:
4 * x = 4 * 3
This simplifies to:
4x = 12
Now, divide both sides by 4:
x = 3
Thus, the equivalent ratio is:
4:3.