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Finding the Fourth Proportional to 9,451.26, 13,042.86 and 5,202.82

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Solution

The fourth proportional to 9,451.26, 13,042.86 and 5,202.82 is: 7,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.26 : 13,042.86 = 5,202.82 : x
  2. Step 2: Convert to fraction form
    9,451.26/13,042.86 = 5,202.82/x
  3. Step 3: Cross multiply
    9,451.26x = 13,042.86 × 5,202.82
  4. Step 4: Simplify right side
    9,451.26x = 67,859,652.87
  5. Step 5: Solve for x
    x = 67,859,652.87/9,451.26
  6. Step 6: Final answer
    x = 7,179.96

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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.