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Finding the Fourth Proportional to 6,432.38, 9,649.86 and 2,734.58

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Solution

The fourth proportional to 6,432.38, 9,649.86 and 2,734.58 is: 4,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.38 : 9,649.86 = 2,734.58 : x
  2. Step 2: Convert to fraction form
    6,432.38/9,649.86 = 2,734.58/x
  3. Step 3: Cross multiply
    6,432.38x = 9,649.86 × 2,734.58
  4. Step 4: Simplify right side
    6,432.38x = 26,388,314.16
  5. Step 5: Solve for x
    x = 26,388,314.16/6,432.38
  6. Step 6: Final answer
    x = 4,102.42

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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.