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Finding the Fourth Proportional to 6,877.20, 9,490.03 and 3,893.37

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Solution

The fourth proportional to 6,877.20, 9,490.03 and 3,893.37 is: 5,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.20 : 9,490.03 = 3,893.37 : x
  2. Step 2: Convert to fraction form
    6,877.20/9,490.03 = 3,893.37/x
  3. Step 3: Cross multiply
    6,877.20x = 9,490.03 × 3,893.37
  4. Step 4: Simplify right side
    6,877.20x = 36,948,198.10
  5. Step 5: Solve for x
    x = 36,948,198.10/6,877.20
  6. Step 6: Final answer
    x = 5,372.56

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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.