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Finding the Fourth Proportional to 6,436.49, 9,654.68 and 4,229.24

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Solution

The fourth proportional to 6,436.49, 9,654.68 and 4,229.24 is: 6,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.49 : 9,654.68 = 4,229.24 : x
  2. Step 2: Convert to fraction form
    6,436.49/9,654.68 = 4,229.24/x
  3. Step 3: Cross multiply
    6,436.49x = 9,654.68 × 4,229.24
  4. Step 4: Simplify right side
    6,436.49x = 40,831,921.14
  5. Step 5: Solve for x
    x = 40,831,921.14/6,436.49
  6. Step 6: Final answer
    x = 6,343.82

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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.