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Finding the Fourth Proportional to 9,105.22, 12,562.92 and 6,982.92

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Solution

The fourth proportional to 9,105.22, 12,562.92 and 6,982.92 is: 9,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.22 : 12,562.92 = 6,982.92 : x
  2. Step 2: Convert to fraction form
    9,105.22/12,562.92 = 6,982.92/x
  3. Step 3: Cross multiply
    9,105.22x = 12,562.92 × 6,982.92
  4. Step 4: Simplify right side
    9,105.22x = 87,725,865.33
  5. Step 5: Solve for x
    x = 87,725,865.33/9,105.22
  6. Step 6: Final answer
    x = 9,634.68

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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.