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Finding the Fourth Proportional to 9,512.82, 13,131.37 and 8,516.37

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Solution

The fourth proportional to 9,512.82, 13,131.37 and 8,516.37 is: 11,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.82 : 13,131.37 = 8,516.37 : x
  2. Step 2: Convert to fraction form
    9,512.82/13,131.37 = 8,516.37/x
  3. Step 3: Cross multiply
    9,512.82x = 13,131.37 × 8,516.37
  4. Step 4: Simplify right side
    9,512.82x = 111,831,550.96
  5. Step 5: Solve for x
    x = 111,831,550.96/9,512.82
  6. Step 6: Final answer
    x = 11,755.88

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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.