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Finding the Fourth Proportional to 8,194.92, 11,309.06 and 4,469.16

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Solution

The fourth proportional to 8,194.92, 11,309.06 and 4,469.16 is: 6,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.92 : 11,309.06 = 4,469.16 : x
  2. Step 2: Convert to fraction form
    8,194.92/11,309.06 = 4,469.16/x
  3. Step 3: Cross multiply
    8,194.92x = 11,309.06 × 4,469.16
  4. Step 4: Simplify right side
    8,194.92x = 50,541,998.59
  5. Step 5: Solve for x
    x = 50,541,998.59/8,194.92
  6. Step 6: Final answer
    x = 6,167.48

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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.