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Finding the Fourth Proportional to 9,078.38, 13,614.06 and 3,531

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Solution

The fourth proportional to 9,078.38, 13,614.06 and 3,531 is: 5,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.38 : 13,614.06 = 3,531 : x
  2. Step 2: Convert to fraction form
    9,078.38/13,614.06 = 3,531/x
  3. Step 3: Cross multiply
    9,078.38x = 13,614.06 × 3,531
  4. Step 4: Simplify right side
    9,078.38x = 48,071,245.86
  5. Step 5: Solve for x
    x = 48,071,245.86/9,078.38
  6. Step 6: Final answer
    x = 5,295.13

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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.