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Finding the Fourth Proportional to 8,764.92, 13,151.70 and 6,184.44

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Solution

The fourth proportional to 8,764.92, 13,151.70 and 6,184.44 is: 9,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.92 : 13,151.70 = 6,184.44 : x
  2. Step 2: Convert to fraction form
    8,764.92/13,151.70 = 6,184.44/x
  3. Step 3: Cross multiply
    8,764.92x = 13,151.70 × 6,184.44
  4. Step 4: Simplify right side
    8,764.92x = 81,335,899.55
  5. Step 5: Solve for x
    x = 81,335,899.55/8,764.92
  6. Step 6: Final answer
    x = 9,279.71

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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.