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Finding the Fourth Proportional to 6,321.91, 8,720.17 and 3,837.91

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Solution

The fourth proportional to 6,321.91, 8,720.17 and 3,837.91 is: 5,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.91 : 8,720.17 = 3,837.91 : x
  2. Step 2: Convert to fraction form
    6,321.91/8,720.17 = 3,837.91/x
  3. Step 3: Cross multiply
    6,321.91x = 8,720.17 × 3,837.91
  4. Step 4: Simplify right side
    6,321.91x = 33,467,227.64
  5. Step 5: Solve for x
    x = 33,467,227.64/6,321.91
  6. Step 6: Final answer
    x = 5,293.85

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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.