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Finding the Fourth Proportional to 6,708.25, 9,257.84 and 3,876.18

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Solution

The fourth proportional to 6,708.25, 9,257.84 and 3,876.18 is: 5,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.25 : 9,257.84 = 3,876.18 : x
  2. Step 2: Convert to fraction form
    6,708.25/9,257.84 = 3,876.18/x
  3. Step 3: Cross multiply
    6,708.25x = 9,257.84 × 3,876.18
  4. Step 4: Simplify right side
    6,708.25x = 35,885,054.25
  5. Step 5: Solve for x
    x = 35,885,054.25/6,708.25
  6. Step 6: Final answer
    x = 5,349.39

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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.