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Finding the Fourth Proportional to 6,459.40, 9,681.31 and 3,337.72

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Solution

The fourth proportional to 6,459.40, 9,681.31 and 3,337.72 is: 5,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.40 : 9,681.31 = 3,337.72 : x
  2. Step 2: Convert to fraction form
    6,459.40/9,681.31 = 3,337.72/x
  3. Step 3: Cross multiply
    6,459.40x = 9,681.31 × 3,337.72
  4. Step 4: Simplify right side
    6,459.40x = 32,313,490.90
  5. Step 5: Solve for x
    x = 32,313,490.90/6,459.40
  6. Step 6: Final answer
    x = 5,002.56

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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.