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Finding the Fourth Proportional to 9,169.00, 13,735.00 and 4,231.78

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Solution

The fourth proportional to 9,169.00, 13,735.00 and 4,231.78 is: 6,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.00 : 13,735.00 = 4,231.78 : x
  2. Step 2: Convert to fraction form
    9,169.00/13,735.00 = 4,231.78/x
  3. Step 3: Cross multiply
    9,169.00x = 13,735.00 × 4,231.78
  4. Step 4: Simplify right side
    9,169.00x = 58,123,469.25
  5. Step 5: Solve for x
    x = 58,123,469.25/9,169.00
  6. Step 6: Final answer
    x = 6,339.13

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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.