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Finding the Fourth Proportional to 9,223.97, 12,729.21 and 5,032.22

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Solution

The fourth proportional to 9,223.97, 12,729.21 and 5,032.22 is: 6,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.97 : 12,729.21 = 5,032.22 : x
  2. Step 2: Convert to fraction form
    9,223.97/12,729.21 = 5,032.22/x
  3. Step 3: Cross multiply
    9,223.97x = 12,729.21 × 5,032.22
  4. Step 4: Simplify right side
    9,223.97x = 64,056,121.50
  5. Step 5: Solve for x
    x = 64,056,121.50/9,223.97
  6. Step 6: Final answer
    x = 6,944.53

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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.