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Finding the Fourth Proportional to 9,434.13, 14,151.17 and 2,414.15

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Solution

The fourth proportional to 9,434.13, 14,151.17 and 2,414.15 is: 3,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.13 : 14,151.17 = 2,414.15 : x
  2. Step 2: Convert to fraction form
    9,434.13/14,151.17 = 2,414.15/x
  3. Step 3: Cross multiply
    9,434.13x = 14,151.17 × 2,414.15
  4. Step 4: Simplify right side
    9,434.13x = 34,162,964.23
  5. Step 5: Solve for x
    x = 34,162,964.23/9,434.13
  6. Step 6: Final answer
    x = 3,621.21

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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.