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Finding the Fourth Proportional to 6,761.31, 9,330.57 and 3,777.13

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Solution

The fourth proportional to 6,761.31, 9,330.57 and 3,777.13 is: 5,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.31 : 9,330.57 = 3,777.13 : x
  2. Step 2: Convert to fraction form
    6,761.31/9,330.57 = 3,777.13/x
  3. Step 3: Cross multiply
    6,761.31x = 9,330.57 × 3,777.13
  4. Step 4: Simplify right side
    6,761.31x = 35,242,775.86
  5. Step 5: Solve for x
    x = 35,242,775.86/6,761.31
  6. Step 6: Final answer
    x = 5,212.42

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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.