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Finding the Fourth Proportional to 6,753.42, 9,320.18 and 3,769.83

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Solution

The fourth proportional to 6,753.42, 9,320.18 and 3,769.83 is: 5,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.42 : 9,320.18 = 3,769.83 : x
  2. Step 2: Convert to fraction form
    6,753.42/9,320.18 = 3,769.83/x
  3. Step 3: Cross multiply
    6,753.42x = 9,320.18 × 3,769.83
  4. Step 4: Simplify right side
    6,753.42x = 35,135,494.17
  5. Step 5: Solve for x
    x = 35,135,494.17/6,753.42
  6. Step 6: Final answer
    x = 5,202.63

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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.