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Finding the Fourth Proportional to 9,147.28, 13,720.80 and 2,221.84

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Solution

The fourth proportional to 9,147.28, 13,720.80 and 2,221.84 is: 3,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.28 : 13,720.80 = 2,221.84 : x
  2. Step 2: Convert to fraction form
    9,147.28/13,720.80 = 2,221.84/x
  3. Step 3: Cross multiply
    9,147.28x = 13,720.80 × 2,221.84
  4. Step 4: Simplify right side
    9,147.28x = 30,485,422.27
  5. Step 5: Solve for x
    x = 30,485,422.27/9,147.28
  6. Step 6: Final answer
    x = 3,332.73

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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.