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Finding the Fourth Proportional to 6,844.88, 9,445.26 and 3,861.17

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Solution

The fourth proportional to 6,844.88, 9,445.26 and 3,861.17 is: 5,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.88 : 9,445.26 = 3,861.17 : x
  2. Step 2: Convert to fraction form
    6,844.88/9,445.26 = 3,861.17/x
  3. Step 3: Cross multiply
    6,844.88x = 9,445.26 × 3,861.17
  4. Step 4: Simplify right side
    6,844.88x = 36,469,754.55
  5. Step 5: Solve for x
    x = 36,469,754.55/6,844.88
  6. Step 6: Final answer
    x = 5,328.03

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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.