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Finding the Fourth Proportional to 9,224.26, 12,729.36 and 5,032.24

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Solution

The fourth proportional to 9,224.26, 12,729.36 and 5,032.24 is: 6,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.26 : 12,729.36 = 5,032.24 : x
  2. Step 2: Convert to fraction form
    9,224.26/12,729.36 = 5,032.24/x
  3. Step 3: Cross multiply
    9,224.26x = 12,729.36 × 5,032.24
  4. Step 4: Simplify right side
    9,224.26x = 64,057,194.57
  5. Step 5: Solve for x
    x = 64,057,194.57/9,224.26
  6. Step 6: Final answer
    x = 6,944.43

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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.