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Finding the Fourth Proportional to 9,224.81, 12,729.86 and 5,191.55

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Solution

The fourth proportional to 9,224.81, 12,729.86 and 5,191.55 is: 7,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.81 : 12,729.86 = 5,191.55 : x
  2. Step 2: Convert to fraction form
    9,224.81/12,729.86 = 5,191.55/x
  3. Step 3: Cross multiply
    9,224.81x = 12,729.86 × 5,191.55
  4. Step 4: Simplify right side
    9,224.81x = 66,087,704.68
  5. Step 5: Solve for x
    x = 66,087,704.68/9,224.81
  6. Step 6: Final answer
    x = 7,164.13

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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.