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Finding the Fourth Proportional to 9,149.78, 13,724.67 and 2,224.22

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Solution

The fourth proportional to 9,149.78, 13,724.67 and 2,224.22 is: 3,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.78 : 13,724.67 = 2,224.22 : x
  2. Step 2: Convert to fraction form
    9,149.78/13,724.67 = 2,224.22/x
  3. Step 3: Cross multiply
    9,149.78x = 13,724.67 × 2,224.22
  4. Step 4: Simplify right side
    9,149.78x = 30,526,685.51
  5. Step 5: Solve for x
    x = 30,526,685.51/9,149.78
  6. Step 6: Final answer
    x = 3,336.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.