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Finding the Fourth Proportional to 8,162.67, 12,221.91 and 6,398.40

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Solution

The fourth proportional to 8,162.67, 12,221.91 and 6,398.40 is: 9,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.67 : 12,221.91 = 6,398.40 : x
  2. Step 2: Convert to fraction form
    8,162.67/12,221.91 = 6,398.40/x
  3. Step 3: Cross multiply
    8,162.67x = 12,221.91 × 6,398.40
  4. Step 4: Simplify right side
    8,162.67x = 78,200,668.94
  5. Step 5: Solve for x
    x = 78,200,668.94/8,162.67
  6. Step 6: Final answer
    x = 9,580.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.