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Finding the Fourth Proportional to 9,414.88, 14,121.70 and 3,866.78

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Solution

The fourth proportional to 9,414.88, 14,121.70 and 3,866.78 is: 5,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.88 : 14,121.70 = 3,866.78 : x
  2. Step 2: Convert to fraction form
    9,414.88/14,121.70 = 3,866.78/x
  3. Step 3: Cross multiply
    9,414.88x = 14,121.70 × 3,866.78
  4. Step 4: Simplify right side
    9,414.88x = 54,605,507.13
  5. Step 5: Solve for x
    x = 54,605,507.13/9,414.88
  6. Step 6: Final answer
    x = 5,799.92

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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.