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Finding the Fourth Proportional to 6,972.46, 9,620.34 and 3,947.62

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Solution

The fourth proportional to 6,972.46, 9,620.34 and 3,947.62 is: 5,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.46 : 9,620.34 = 3,947.62 : x
  2. Step 2: Convert to fraction form
    6,972.46/9,620.34 = 3,947.62/x
  3. Step 3: Cross multiply
    6,972.46x = 9,620.34 × 3,947.62
  4. Step 4: Simplify right side
    6,972.46x = 37,977,446.59
  5. Step 5: Solve for x
    x = 37,977,446.59/6,972.46
  6. Step 6: Final answer
    x = 5,446.78

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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.