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Finding the Fourth Proportional to 9,107.44, 12,573.73 and 5,969.09

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Solution

The fourth proportional to 9,107.44, 12,573.73 and 5,969.09 is: 8,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 12,573.73 = 5,969.09 : x
  2. Step 2: Convert to fraction form
    9,107.44/12,573.73 = 5,969.09/x
  3. Step 3: Cross multiply
    9,107.44x = 12,573.73 × 5,969.09
  4. Step 4: Simplify right side
    9,107.44x = 75,053,764.90
  5. Step 5: Solve for x
    x = 75,053,764.90/9,107.44
  6. Step 6: Final answer
    x = 8,240.93

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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.