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Finding the Fourth Proportional to 6,344.56, 9,531.44 and 4,500.24

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Solution

The fourth proportional to 6,344.56, 9,531.44 and 4,500.24 is: 6,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.56 : 9,531.44 = 4,500.24 : x
  2. Step 2: Convert to fraction form
    6,344.56/9,531.44 = 4,500.24/x
  3. Step 3: Cross multiply
    6,344.56x = 9,531.44 × 4,500.24
  4. Step 4: Simplify right side
    6,344.56x = 42,893,767.55
  5. Step 5: Solve for x
    x = 42,893,767.55/6,344.56
  6. Step 6: Final answer
    x = 6,760.72

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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.