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Finding the Fourth Proportional to 9,759.75, 14,640.03 and 2,834.25

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Solution

The fourth proportional to 9,759.75, 14,640.03 and 2,834.25 is: 4,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.75 : 14,640.03 = 2,834.25 : x
  2. Step 2: Convert to fraction form
    9,759.75/14,640.03 = 2,834.25/x
  3. Step 3: Cross multiply
    9,759.75x = 14,640.03 × 2,834.25
  4. Step 4: Simplify right side
    9,759.75x = 41,493,505.03
  5. Step 5: Solve for x
    x = 41,493,505.03/9,759.75
  6. Step 6: Final answer
    x = 4,251.49

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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.