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Finding the Fourth Proportional to 6,761.30, 9,329.45 and 3,777.16

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Solution

The fourth proportional to 6,761.30, 9,329.45 and 3,777.16 is: 5,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.30 : 9,329.45 = 3,777.16 : x
  2. Step 2: Convert to fraction form
    6,761.30/9,329.45 = 3,777.16/x
  3. Step 3: Cross multiply
    6,761.30x = 9,329.45 × 3,777.16
  4. Step 4: Simplify right side
    6,761.30x = 35,238,773.99
  5. Step 5: Solve for x
    x = 35,238,773.99/6,761.30
  6. Step 6: Final answer
    x = 5,211.84

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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.