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Finding the Fourth Proportional to 9,224.62, 12,729.48 and 5,191.54

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Solution

The fourth proportional to 9,224.62, 12,729.48 and 5,191.54 is: 7,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.62 : 12,729.48 = 5,191.54 : x
  2. Step 2: Convert to fraction form
    9,224.62/12,729.48 = 5,191.54/x
  3. Step 3: Cross multiply
    9,224.62x = 12,729.48 × 5,191.54
  4. Step 4: Simplify right side
    9,224.62x = 66,085,604.60
  5. Step 5: Solve for x
    x = 66,085,604.60/9,224.62
  6. Step 6: Final answer
    x = 7,164.05

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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.