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Finding the Fourth Proportional to 6,761.73, 9,331.23 and 3,777.83

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Solution

The fourth proportional to 6,761.73, 9,331.23 and 3,777.83 is: 5,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.73 : 9,331.23 = 3,777.83 : x
  2. Step 2: Convert to fraction form
    6,761.73/9,331.23 = 3,777.83/x
  3. Step 3: Cross multiply
    6,761.73x = 9,331.23 × 3,777.83
  4. Step 4: Simplify right side
    6,761.73x = 35,251,800.63
  5. Step 5: Solve for x
    x = 35,251,800.63/6,761.73
  6. Step 6: Final answer
    x = 5,213.43

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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.