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Finding the Fourth Proportional to 6,876.87, 9,490.28 and 4,044.44

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Solution

The fourth proportional to 6,876.87, 9,490.28 and 4,044.44 is: 5,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.87 : 9,490.28 = 4,044.44 : x
  2. Step 2: Convert to fraction form
    6,876.87/9,490.28 = 4,044.44/x
  3. Step 3: Cross multiply
    6,876.87x = 9,490.28 × 4,044.44
  4. Step 4: Simplify right side
    6,876.87x = 38,382,800.37
  5. Step 5: Solve for x
    x = 38,382,800.37/6,876.87
  6. Step 6: Final answer
    x = 5,581.43

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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.