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Finding the Fourth Proportional to 9,149.52, 13,724.28 and 2,224

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Solution

The fourth proportional to 9,149.52, 13,724.28 and 2,224 is: 3,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.52 : 13,724.28 = 2,224 : x
  2. Step 2: Convert to fraction form
    9,149.52/13,724.28 = 2,224/x
  3. Step 3: Cross multiply
    9,149.52x = 13,724.28 × 2,224
  4. Step 4: Simplify right side
    9,149.52x = 30,522,798.72
  5. Step 5: Solve for x
    x = 30,522,798.72/9,149.52
  6. Step 6: Final answer
    x = 3,336

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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.