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Finding the Fourth Proportional to 8,869.92, 12,238.80 and 5,556

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Solution

The fourth proportional to 8,869.92, 12,238.80 and 5,556 is: 7,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869.92 : 12,238.80 = 5,556 : x
  2. Step 2: Convert to fraction form
    8,869.92/12,238.80 = 5,556/x
  3. Step 3: Cross multiply
    8,869.92x = 12,238.80 × 5,556
  4. Step 4: Simplify right side
    8,869.92x = 67,998,772.80
  5. Step 5: Solve for x
    x = 67,998,772.80/8,869.92
  6. Step 6: Final answer
    x = 7,666.22

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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.