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Finding the Fourth Proportional to 7,178.42, 9,906.17 and 3,991.67

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Solution

The fourth proportional to 7,178.42, 9,906.17 and 3,991.67 is: 5,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.42 : 9,906.17 = 3,991.67 : x
  2. Step 2: Convert to fraction form
    7,178.42/9,906.17 = 3,991.67/x
  3. Step 3: Cross multiply
    7,178.42x = 9,906.17 × 3,991.67
  4. Step 4: Simplify right side
    7,178.42x = 39,542,092.11
  5. Step 5: Solve for x
    x = 39,542,092.11/7,178.42
  6. Step 6: Final answer
    x = 5,508.47

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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.