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Finding the Fourth Proportional to 9,149.59, 13,724.40 and 2,224.09

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Solution

The fourth proportional to 9,149.59, 13,724.40 and 2,224.09 is: 3,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.59 : 13,724.40 = 2,224.09 : x
  2. Step 2: Convert to fraction form
    9,149.59/13,724.40 = 2,224.09/x
  3. Step 3: Cross multiply
    9,149.59x = 13,724.40 × 2,224.09
  4. Step 4: Simplify right side
    9,149.59x = 30,524,300.80
  5. Step 5: Solve for x
    x = 30,524,300.80/9,149.59
  6. Step 6: Final answer
    x = 3,336.14

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Why These Related Problems?

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