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Finding the Fourth Proportional to 9,112.97, 12,576.06 and 5,969.16

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Solution

The fourth proportional to 9,112.97, 12,576.06 and 5,969.16 is: 8,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.97 : 12,576.06 = 5,969.16 : x
  2. Step 2: Convert to fraction form
    9,112.97/12,576.06 = 5,969.16/x
  3. Step 3: Cross multiply
    9,112.97x = 12,576.06 × 5,969.16
  4. Step 4: Simplify right side
    9,112.97x = 75,068,514.31
  5. Step 5: Solve for x
    x = 75,068,514.31/9,112.97
  6. Step 6: Final answer
    x = 8,237.54

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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.