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Finding the Fourth Proportional to 6,753.60, 9,319.97 and 3,769.43

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Solution

The fourth proportional to 6,753.60, 9,319.97 and 3,769.43 is: 5,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.60 : 9,319.97 = 3,769.43 : x
  2. Step 2: Convert to fraction form
    6,753.60/9,319.97 = 3,769.43/x
  3. Step 3: Cross multiply
    6,753.60x = 9,319.97 × 3,769.43
  4. Step 4: Simplify right side
    6,753.60x = 35,130,972.29
  5. Step 5: Solve for x
    x = 35,130,972.29/6,753.60
  6. Step 6: Final answer
    x = 5,201.82

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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.