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Finding the Fourth Proportional to 6,734.32, 9,293.28 and 3,939.82

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Solution

The fourth proportional to 6,734.32, 9,293.28 and 3,939.82 is: 5,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.32 : 9,293.28 = 3,939.82 : x
  2. Step 2: Convert to fraction form
    6,734.32/9,293.28 = 3,939.82/x
  3. Step 3: Cross multiply
    6,734.32x = 9,293.28 × 3,939.82
  4. Step 4: Simplify right side
    6,734.32x = 36,613,850.41
  5. Step 5: Solve for x
    x = 36,613,850.41/6,734.32
  6. Step 6: Final answer
    x = 5,436.90

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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.