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Finding the Fourth Proportional to 6,102.96, 9,169.12 and 3,916

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Solution

The fourth proportional to 6,102.96, 9,169.12 and 3,916 is: 5,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.96 : 9,169.12 = 3,916 : x
  2. Step 2: Convert to fraction form
    6,102.96/9,169.12 = 3,916/x
  3. Step 3: Cross multiply
    6,102.96x = 9,169.12 × 3,916
  4. Step 4: Simplify right side
    6,102.96x = 35,906,273.92
  5. Step 5: Solve for x
    x = 35,906,273.92/6,102.96
  6. Step 6: Final answer
    x = 5,883.42

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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.