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Finding the Fourth Proportional to 9,841.20, 14,761.80 and 9,414.60

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Solution

The fourth proportional to 9,841.20, 14,761.80 and 9,414.60 is: 14,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.20 : 14,761.80 = 9,414.60 : x
  2. Step 2: Convert to fraction form
    9,841.20/14,761.80 = 9,414.60/x
  3. Step 3: Cross multiply
    9,841.20x = 14,761.80 × 9,414.60
  4. Step 4: Simplify right side
    9,841.20x = 138,976,442.28
  5. Step 5: Solve for x
    x = 138,976,442.28/9,841.20
  6. Step 6: Final answer
    x = 14,121.90

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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.