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Finding the Fourth Proportional to 6,507.90, 9,748.17 and 5,414.40

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Solution

The fourth proportional to 6,507.90, 9,748.17 and 5,414.40 is: 8,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.90 : 9,748.17 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    6,507.90/9,748.17 = 5,414.40/x
  3. Step 3: Cross multiply
    6,507.90x = 9,748.17 × 5,414.40
  4. Step 4: Simplify right side
    6,507.90x = 52,780,491.65
  5. Step 5: Solve for x
    x = 52,780,491.65/6,507.90
  6. Step 6: Final answer
    x = 8,110.22

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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.