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Finding the Fourth Proportional to 8,834.89, 12,194.28 and 6,741.85

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Solution

The fourth proportional to 8,834.89, 12,194.28 and 6,741.85 is: 9,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.89 : 12,194.28 = 6,741.85 : x
  2. Step 2: Convert to fraction form
    8,834.89/12,194.28 = 6,741.85/x
  3. Step 3: Cross multiply
    8,834.89x = 12,194.28 × 6,741.85
  4. Step 4: Simplify right side
    8,834.89x = 82,212,006.62
  5. Step 5: Solve for x
    x = 82,212,006.62/8,834.89
  6. Step 6: Final answer
    x = 9,305.38

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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.