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/8 : 32 :: 3.1 : x and 5 : 10 :: 9 : y. What is the ratio of x to y?&nb...

Question

8 : 32 :: 3.1 : x and 5 : 10 :: 9 : y. What is the ratio of x to y?

A 31 : 45 Correct Incorrect

B 32 : 43 Correct Incorrect

C 35 : 55 Correct Incorrect

D 29 : 46 Correct Incorrect

Detailed Solution

Given: 8 : 32 :: 3.1 : x 5 : 10 :: 9 : y Now, Solve for x 8/32 = 3.1/x ⇒ 1/4 = 3.1/x ⇒ x = 3.1 × 4 = 12.4 Now, Solve for y 5/10 = 9/y ⇒ 1/2 = 9/y ⇒ y = 9 × 2 = 18 So, x : y = 12.4 : 18 Convert to fraction: 12.4 / 18 = 124 / 180 = 62/90 = 31/45

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