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Finding the Fourth Proportional to 6,644.92, 9,172.14 and 4,285.24

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Solution

The fourth proportional to 6,644.92, 9,172.14 and 4,285.24 is: 5,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.92 : 9,172.14 = 4,285.24 : x
  2. Step 2: Convert to fraction form
    6,644.92/9,172.14 = 4,285.24/x
  3. Step 3: Cross multiply
    6,644.92x = 9,172.14 × 4,285.24
  4. Step 4: Simplify right side
    6,644.92x = 39,304,821.21
  5. Step 5: Solve for x
    x = 39,304,821.21/6,644.92
  6. Step 6: Final answer
    x = 5,915.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.