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Finding the Fourth Proportional to 6,557.54, 9,046.52 and 4,432.29

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Solution

The fourth proportional to 6,557.54, 9,046.52 and 4,432.29 is: 6,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.54 : 9,046.52 = 4,432.29 : x
  2. Step 2: Convert to fraction form
    6,557.54/9,046.52 = 4,432.29/x
  3. Step 3: Cross multiply
    6,557.54x = 9,046.52 × 4,432.29
  4. Step 4: Simplify right side
    6,557.54x = 40,096,777.97
  5. Step 5: Solve for x
    x = 40,096,777.97/6,557.54
  6. Step 6: Final answer
    x = 6,114.61

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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.