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Finding the Fourth Proportional to 6,949.92, 9,590.85 and 3,806.13

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Solution

The fourth proportional to 6,949.92, 9,590.85 and 3,806.13 is: 5,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.92 : 9,590.85 = 3,806.13 : x
  2. Step 2: Convert to fraction form
    6,949.92/9,590.85 = 3,806.13/x
  3. Step 3: Cross multiply
    6,949.92x = 9,590.85 × 3,806.13
  4. Step 4: Simplify right side
    6,949.92x = 36,504,021.91
  5. Step 5: Solve for x
    x = 36,504,021.91/6,949.92
  6. Step 6: Final answer
    x = 5,252.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.