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Finding the Fourth Proportional to 6,414.48, 9,620.78 and 2,254.19

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Solution

The fourth proportional to 6,414.48, 9,620.78 and 2,254.19 is: 3,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.48 : 9,620.78 = 2,254.19 : x
  2. Step 2: Convert to fraction form
    6,414.48/9,620.78 = 2,254.19/x
  3. Step 3: Cross multiply
    6,414.48x = 9,620.78 × 2,254.19
  4. Step 4: Simplify right side
    6,414.48x = 21,687,006.69
  5. Step 5: Solve for x
    x = 21,687,006.69/6,414.48
  6. Step 6: Final answer
    x = 3,380.95

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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.