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Finding the Fourth Proportional to 6,241.89, 9,362.85 and 3,947.97

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Solution

The fourth proportional to 6,241.89, 9,362.85 and 3,947.97 is: 5,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.89 : 9,362.85 = 3,947.97 : x
  2. Step 2: Convert to fraction form
    6,241.89/9,362.85 = 3,947.97/x
  3. Step 3: Cross multiply
    6,241.89x = 9,362.85 × 3,947.97
  4. Step 4: Simplify right side
    6,241.89x = 36,964,250.91
  5. Step 5: Solve for x
    x = 36,964,250.91/6,241.89
  6. Step 6: Final answer
    x = 5,921.96

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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.