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Finding the Fourth Proportional to 6,949.12, 9,589.92 and 3,805.24

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Solution

The fourth proportional to 6,949.12, 9,589.92 and 3,805.24 is: 5,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.12 : 9,589.92 = 3,805.24 : x
  2. Step 2: Convert to fraction form
    6,949.12/9,589.92 = 3,805.24/x
  3. Step 3: Cross multiply
    6,949.12x = 9,589.92 × 3,805.24
  4. Step 4: Simplify right side
    6,949.12x = 36,491,947.18
  5. Step 5: Solve for x
    x = 36,491,947.18/6,949.12
  6. Step 6: Final answer
    x = 5,251.30

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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.