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Finding the Fourth Proportional to 10,046.22, 13,855.86 and 9,375.54

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Solution

The fourth proportional to 10,046.22, 13,855.86 and 9,375.54 is: 12,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.22 : 13,855.86 = 9,375.54 : x
  2. Step 2: Convert to fraction form
    10,046.22/13,855.86 = 9,375.54/x
  3. Step 3: Cross multiply
    10,046.22x = 13,855.86 × 9,375.54
  4. Step 4: Simplify right side
    10,046.22x = 129,906,169.66
  5. Step 5: Solve for x
    x = 129,906,169.66/10,046.22
  6. Step 6: Final answer
    x = 12,930.85

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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.