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Finding the Fourth Proportional to 8,961.85, 12,367.28 and 4,982.92

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Solution

The fourth proportional to 8,961.85, 12,367.28 and 4,982.92 is: 6,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.85 : 12,367.28 = 4,982.92 : x
  2. Step 2: Convert to fraction form
    8,961.85/12,367.28 = 4,982.92/x
  3. Step 3: Cross multiply
    8,961.85x = 12,367.28 × 4,982.92
  4. Step 4: Simplify right side
    8,961.85x = 61,625,185.32
  5. Step 5: Solve for x
    x = 61,625,185.32/8,961.85
  6. Step 6: Final answer
    x = 6,876.39

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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.