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Finding the Fourth Proportional to 6,446.48, 9,672.28 and 6,436.24

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Solution

The fourth proportional to 6,446.48, 9,672.28 and 6,436.24 is: 9,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.48 : 9,672.28 = 6,436.24 : x
  2. Step 2: Convert to fraction form
    6,446.48/9,672.28 = 6,436.24/x
  3. Step 3: Cross multiply
    6,446.48x = 9,672.28 × 6,436.24
  4. Step 4: Simplify right side
    6,446.48x = 62,253,115.43
  5. Step 5: Solve for x
    x = 62,253,115.43/6,446.48
  6. Step 6: Final answer
    x = 9,656.92

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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.