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Finding the Fourth Proportional to 6,685.99, 9,229.77 and 3,998.41

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Solution

The fourth proportional to 6,685.99, 9,229.77 and 3,998.41 is: 5,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.99 : 9,229.77 = 3,998.41 : x
  2. Step 2: Convert to fraction form
    6,685.99/9,229.77 = 3,998.41/x
  3. Step 3: Cross multiply
    6,685.99x = 9,229.77 × 3,998.41
  4. Step 4: Simplify right side
    6,685.99x = 36,904,381.59
  5. Step 5: Solve for x
    x = 36,904,381.59/6,685.99
  6. Step 6: Final answer
    x = 5,519.66

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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.