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Finding the Fourth Proportional to 9,414.30, 14,121.45 and 6,789.90

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Solution

The fourth proportional to 9,414.30, 14,121.45 and 6,789.90 is: 10,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.30 : 14,121.45 = 6,789.90 : x
  2. Step 2: Convert to fraction form
    9,414.30/14,121.45 = 6,789.90/x
  3. Step 3: Cross multiply
    9,414.30x = 14,121.45 × 6,789.90
  4. Step 4: Simplify right side
    9,414.30x = 95,883,233.36
  5. Step 5: Solve for x
    x = 95,883,233.36/9,414.30
  6. Step 6: Final answer
    x = 10,184.85

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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.