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Finding the Fourth Proportional to 6,401.08, 8,832.09 and 3,747.91

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Solution

The fourth proportional to 6,401.08, 8,832.09 and 3,747.91 is: 5,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.08 : 8,832.09 = 3,747.91 : x
  2. Step 2: Convert to fraction form
    6,401.08/8,832.09 = 3,747.91/x
  3. Step 3: Cross multiply
    6,401.08x = 8,832.09 × 3,747.91
  4. Step 4: Simplify right side
    6,401.08x = 33,101,878.43
  5. Step 5: Solve for x
    x = 33,101,878.43/6,401.08
  6. Step 6: Final answer
    x = 5,171.30

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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.