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Finding the Fourth Proportional to 8,774.92, 12,104.85 and 5,942.44

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Solution

The fourth proportional to 8,774.92, 12,104.85 and 5,942.44 is: 8,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.92 : 12,104.85 = 5,942.44 : x
  2. Step 2: Convert to fraction form
    8,774.92/12,104.85 = 5,942.44/x
  3. Step 3: Cross multiply
    8,774.92x = 12,104.85 × 5,942.44
  4. Step 4: Simplify right side
    8,774.92x = 71,932,344.83
  5. Step 5: Solve for x
    x = 71,932,344.83/8,774.92
  6. Step 6: Final answer
    x = 8,197.49

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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.