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Finding the Fourth Proportional to 6,644.52, 9,165.78 and 4,658.04

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Solution

The fourth proportional to 6,644.52, 9,165.78 and 4,658.04 is: 6,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.52 : 9,165.78 = 4,658.04 : x
  2. Step 2: Convert to fraction form
    6,644.52/9,165.78 = 4,658.04/x
  3. Step 3: Cross multiply
    6,644.52x = 9,165.78 × 4,658.04
  4. Step 4: Simplify right side
    6,644.52x = 42,694,569.87
  5. Step 5: Solve for x
    x = 42,694,569.87/6,644.52
  6. Step 6: Final answer
    x = 6,425.53

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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.