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Finding the Fourth Proportional to 6,671.25, 9,207.14 and 3,876.75

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Solution

The fourth proportional to 6,671.25, 9,207.14 and 3,876.75 is: 5,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.25 : 9,207.14 = 3,876.75 : x
  2. Step 2: Convert to fraction form
    6,671.25/9,207.14 = 3,876.75/x
  3. Step 3: Cross multiply
    6,671.25x = 9,207.14 × 3,876.75
  4. Step 4: Simplify right side
    6,671.25x = 35,693,760.61
  5. Step 5: Solve for x
    x = 35,693,760.61/6,671.25
  6. Step 6: Final answer
    x = 5,350.39

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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.