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Finding the Fourth Proportional to 6,753.81, 9,319.48 and 3,769.73

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Solution

The fourth proportional to 6,753.81, 9,319.48 and 3,769.73 is: 5,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.81 : 9,319.48 = 3,769.73 : x
  2. Step 2: Convert to fraction form
    6,753.81/9,319.48 = 3,769.73/x
  3. Step 3: Cross multiply
    6,753.81x = 9,319.48 × 3,769.73
  4. Step 4: Simplify right side
    6,753.81x = 35,131,867.32
  5. Step 5: Solve for x
    x = 35,131,867.32/6,753.81
  6. Step 6: Final answer
    x = 5,201.78

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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.