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Finding the Fourth Proportional to 9,224.04, 12,729.24 and 5,032.44

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Solution

The fourth proportional to 9,224.04, 12,729.24 and 5,032.44 is: 6,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.04 : 12,729.24 = 5,032.44 : x
  2. Step 2: Convert to fraction form
    9,224.04/12,729.24 = 5,032.44/x
  3. Step 3: Cross multiply
    9,224.04x = 12,729.24 × 5,032.44
  4. Step 4: Simplify right side
    9,224.04x = 64,059,136.55
  5. Step 5: Solve for x
    x = 64,059,136.55/9,224.04
  6. Step 6: Final answer
    x = 6,944.80

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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.