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Finding the Fourth Proportional to 6,629.38, 9,150.17 and 3,976.22

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Solution

The fourth proportional to 6,629.38, 9,150.17 and 3,976.22 is: 5,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.38 : 9,150.17 = 3,976.22 : x
  2. Step 2: Convert to fraction form
    6,629.38/9,150.17 = 3,976.22/x
  3. Step 3: Cross multiply
    6,629.38x = 9,150.17 × 3,976.22
  4. Step 4: Simplify right side
    6,629.38x = 36,383,091.95
  5. Step 5: Solve for x
    x = 36,383,091.95/6,629.38
  6. Step 6: Final answer
    x = 5,488.16

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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.