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Finding the Fourth Proportional to 10,391.61, 14,345.60 and 6,414.92

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Solution

The fourth proportional to 10,391.61, 14,345.60 and 6,414.92 is: 8,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.61 : 14,345.60 = 6,414.92 : x
  2. Step 2: Convert to fraction form
    10,391.61/14,345.60 = 6,414.92/x
  3. Step 3: Cross multiply
    10,391.61x = 14,345.60 × 6,414.92
  4. Step 4: Simplify right side
    10,391.61x = 92,025,772.55
  5. Step 5: Solve for x
    x = 92,025,772.55/10,391.61
  6. Step 6: Final answer
    x = 8,855.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.