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Finding the Fourth Proportional to 9,006.92, 12,402.04 and 8,162.13

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Solution

The fourth proportional to 9,006.92, 12,402.04 and 8,162.13 is: 11,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.92 : 12,402.04 = 8,162.13 : x
  2. Step 2: Convert to fraction form
    9,006.92/12,402.04 = 8,162.13/x
  3. Step 3: Cross multiply
    9,006.92x = 12,402.04 × 8,162.13
  4. Step 4: Simplify right side
    9,006.92x = 101,227,042.34
  5. Step 5: Solve for x
    x = 101,227,042.34/9,006.92
  6. Step 6: Final answer
    x = 11,238.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.