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Finding the Fourth Proportional to 6,757.42, 9,325.92 and 4,105.09

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Solution

The fourth proportional to 6,757.42, 9,325.92 and 4,105.09 is: 5,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.42 : 9,325.92 = 4,105.09 : x
  2. Step 2: Convert to fraction form
    6,757.42/9,325.92 = 4,105.09/x
  3. Step 3: Cross multiply
    6,757.42x = 9,325.92 × 4,105.09
  4. Step 4: Simplify right side
    6,757.42x = 38,283,740.93
  5. Step 5: Solve for x
    x = 38,283,740.93/6,757.42
  6. Step 6: Final answer
    x = 5,665.44

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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.