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Finding the Fourth Proportional to 6,432.97, 9,644.06 and 2,737.80

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Solution

The fourth proportional to 6,432.97, 9,644.06 and 2,737.80 is: 4,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.97 : 9,644.06 = 2,737.80 : x
  2. Step 2: Convert to fraction form
    6,432.97/9,644.06 = 2,737.80/x
  3. Step 3: Cross multiply
    6,432.97x = 9,644.06 × 2,737.80
  4. Step 4: Simplify right side
    6,432.97x = 26,403,514.31
  5. Step 5: Solve for x
    x = 26,403,514.31/6,432.97
  6. Step 6: Final answer
    x = 4,104.41

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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.