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Finding the Fourth Proportional to 9,337.78, 12,891.41 and 6,198.26

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Solution

The fourth proportional to 9,337.78, 12,891.41 and 6,198.26 is: 8,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.78 : 12,891.41 = 6,198.26 : x
  2. Step 2: Convert to fraction form
    9,337.78/12,891.41 = 6,198.26/x
  3. Step 3: Cross multiply
    9,337.78x = 12,891.41 × 6,198.26
  4. Step 4: Simplify right side
    9,337.78x = 79,904,310.95
  5. Step 5: Solve for x
    x = 79,904,310.95/9,337.78
  6. Step 6: Final answer
    x = 8,557.10

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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.