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Finding the Fourth Proportional to 6,331.68, 9,494 and 1,947.92

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Solution

The fourth proportional to 6,331.68, 9,494 and 1,947.92 is: 2,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.68 : 9,494 = 1,947.92 : x
  2. Step 2: Convert to fraction form
    6,331.68/9,494 = 1,947.92/x
  3. Step 3: Cross multiply
    6,331.68x = 9,494 × 1,947.92
  4. Step 4: Simplify right side
    6,331.68x = 18,493,552.48
  5. Step 5: Solve for x
    x = 18,493,552.48/6,331.68
  6. Step 6: Final answer
    x = 2,920.80

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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.