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Finding the Fourth Proportional to 6,540.44, 9,022.46 and 3,849.76

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Solution

The fourth proportional to 6,540.44, 9,022.46 and 3,849.76 is: 5,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.44 : 9,022.46 = 3,849.76 : x
  2. Step 2: Convert to fraction form
    6,540.44/9,022.46 = 3,849.76/x
  3. Step 3: Cross multiply
    6,540.44x = 9,022.46 × 3,849.76
  4. Step 4: Simplify right side
    6,540.44x = 34,734,305.61
  5. Step 5: Solve for x
    x = 34,734,305.61/6,540.44
  6. Step 6: Final answer
    x = 5,310.70

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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.