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Finding the Fourth Proportional to 6,932.88, 9,564.95 and 3,947.93

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Solution

The fourth proportional to 6,932.88, 9,564.95 and 3,947.93 is: 5,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.88 : 9,564.95 = 3,947.93 : x
  2. Step 2: Convert to fraction form
    6,932.88/9,564.95 = 3,947.93/x
  3. Step 3: Cross multiply
    6,932.88x = 9,564.95 × 3,947.93
  4. Step 4: Simplify right side
    6,932.88x = 37,761,753.05
  5. Step 5: Solve for x
    x = 37,761,753.05/6,932.88
  6. Step 6: Final answer
    x = 5,446.76

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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.