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Finding the Fourth Proportional to 7,093.50, 9,789.04 and 3,949.90

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Solution

The fourth proportional to 7,093.50, 9,789.04 and 3,949.90 is: 5,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.50 : 9,789.04 = 3,949.90 : x
  2. Step 2: Convert to fraction form
    7,093.50/9,789.04 = 3,949.90/x
  3. Step 3: Cross multiply
    7,093.50x = 9,789.04 × 3,949.90
  4. Step 4: Simplify right side
    7,093.50x = 38,665,729.10
  5. Step 5: Solve for x
    x = 38,665,729.10/7,093.50
  6. Step 6: Final answer
    x = 5,450.87

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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.