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Finding the Fourth Proportional to 29,294.87, 43,917.69 and 9,562.66

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Solution

The fourth proportional to 29,294.87, 43,917.69 and 9,562.66 is: 14,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.87 : 43,917.69 = 9,562.66 : x
  2. Step 2: Convert to fraction form
    29,294.87/43,917.69 = 9,562.66/x
  3. Step 3: Cross multiply
    29,294.87x = 43,917.69 × 9,562.66
  4. Step 4: Simplify right side
    29,294.87x = 419,969,863.52
  5. Step 5: Solve for x
    x = 419,969,863.52/29,294.87
  6. Step 6: Final answer
    x = 14,335.95

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Why These Related Problems?

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