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Finding the Fourth Proportional to 6,781.05, 9,358.20 and 3,796.71

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Solution

The fourth proportional to 6,781.05, 9,358.20 and 3,796.71 is: 5,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.05 : 9,358.20 = 3,796.71 : x
  2. Step 2: Convert to fraction form
    6,781.05/9,358.20 = 3,796.71/x
  3. Step 3: Cross multiply
    6,781.05x = 9,358.20 × 3,796.71
  4. Step 4: Simplify right side
    6,781.05x = 35,530,371.52
  5. Step 5: Solve for x
    x = 35,530,371.52/6,781.05
  6. Step 6: Final answer
    x = 5,239.66

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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.