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Finding the Fourth Proportional to 9,451.78, 13,042.92 and 5,202.12

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Solution

The fourth proportional to 9,451.78, 13,042.92 and 5,202.12 is: 7,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.78 : 13,042.92 = 5,202.12 : x
  2. Step 2: Convert to fraction form
    9,451.78/13,042.92 = 5,202.12/x
  3. Step 3: Cross multiply
    9,451.78x = 13,042.92 × 5,202.12
  4. Step 4: Simplify right side
    9,451.78x = 67,850,834.99
  5. Step 5: Solve for x
    x = 67,850,834.99/9,451.78
  6. Step 6: Final answer
    x = 7,178.63

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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.