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Finding the Fourth Proportional to 7,093.72, 9,789.16 and 3,949.84

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Solution

The fourth proportional to 7,093.72, 9,789.16 and 3,949.84 is: 5,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.72 : 9,789.16 = 3,949.84 : x
  2. Step 2: Convert to fraction form
    7,093.72/9,789.16 = 3,949.84/x
  3. Step 3: Cross multiply
    7,093.72x = 9,789.16 × 3,949.84
  4. Step 4: Simplify right side
    7,093.72x = 38,665,615.73
  5. Step 5: Solve for x
    x = 38,665,615.73/7,093.72
  6. Step 6: Final answer
    x = 5,450.68

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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.