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Finding the Fourth Proportional to 6,949.52, 9,591.14 and 3,965.78

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Solution

The fourth proportional to 6,949.52, 9,591.14 and 3,965.78 is: 5,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.52 : 9,591.14 = 3,965.78 : x
  2. Step 2: Convert to fraction form
    6,949.52/9,591.14 = 3,965.78/x
  3. Step 3: Cross multiply
    6,949.52x = 9,591.14 × 3,965.78
  4. Step 4: Simplify right side
    6,949.52x = 38,036,351.19
  5. Step 5: Solve for x
    x = 38,036,351.19/6,949.52
  6. Step 6: Final answer
    x = 5,473.23

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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.