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Finding the Fourth Proportional to 9,414.30, 14,092.65 and 9,414.30

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Solution

The fourth proportional to 9,414.30, 14,092.65 and 9,414.30 is: 14,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.30 : 14,092.65 = 9,414.30 : x
  2. Step 2: Convert to fraction form
    9,414.30/14,092.65 = 9,414.30/x
  3. Step 3: Cross multiply
    9,414.30x = 14,092.65 × 9,414.30
  4. Step 4: Simplify right side
    9,414.30x = 132,672,434.90
  5. Step 5: Solve for x
    x = 132,672,434.90/9,414.30
  6. Step 6: Final answer
    x = 14,092.65

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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.