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Finding the Fourth Proportional to 6,418, 9,626.96 and 5,127.64

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Solution

The fourth proportional to 6,418, 9,626.96 and 5,127.64 is: 7,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418 : 9,626.96 = 5,127.64 : x
  2. Step 2: Convert to fraction form
    6,418/9,626.96 = 5,127.64/x
  3. Step 3: Cross multiply
    6,418x = 9,626.96 × 5,127.64
  4. Step 4: Simplify right side
    6,418x = 49,363,585.17
  5. Step 5: Solve for x
    x = 49,363,585.17/6,418
  6. Step 6: Final answer
    x = 7,691.43

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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.