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Finding the Fourth Proportional to 38,414.14, 57,621.20 and 9,230.14

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Solution

The fourth proportional to 38,414.14, 57,621.20 and 9,230.14 is: 13,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.14 : 57,621.20 = 9,230.14 : x
  2. Step 2: Convert to fraction form
    38,414.14/57,621.20 = 9,230.14/x
  3. Step 3: Cross multiply
    38,414.14x = 57,621.20 × 9,230.14
  4. Step 4: Simplify right side
    38,414.14x = 531,851,742.97
  5. Step 5: Solve for x
    x = 531,851,742.97/38,414.14
  6. Step 6: Final answer
    x = 13,845.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.