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Finding the Fourth Proportional to 8,543.82, 12,822.22 and 5,909.70

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Solution

The fourth proportional to 8,543.82, 12,822.22 and 5,909.70 is: 8,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.82 : 12,822.22 = 5,909.70 : x
  2. Step 2: Convert to fraction form
    8,543.82/12,822.22 = 5,909.70/x
  3. Step 3: Cross multiply
    8,543.82x = 12,822.22 × 5,909.70
  4. Step 4: Simplify right side
    8,543.82x = 75,775,473.53
  5. Step 5: Solve for x
    x = 75,775,473.53/8,543.82
  6. Step 6: Final answer
    x = 8,869.04

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Why These Related Problems?

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