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Finding the Fourth Proportional to 6,414.17, 9,613.89 and 2,944.13

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Solution

The fourth proportional to 6,414.17, 9,613.89 and 2,944.13 is: 4,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.17 : 9,613.89 = 2,944.13 : x
  2. Step 2: Convert to fraction form
    6,414.17/9,613.89 = 2,944.13/x
  3. Step 3: Cross multiply
    6,414.17x = 9,613.89 × 2,944.13
  4. Step 4: Simplify right side
    6,414.17x = 28,304,493.90
  5. Step 5: Solve for x
    x = 28,304,493.90/6,414.17
  6. Step 6: Final answer
    x = 4,412.81

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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.