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Finding the Fourth Proportional to 9,149.22, 13,713.86 and 4,767.12

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Solution

The fourth proportional to 9,149.22, 13,713.86 and 4,767.12 is: 7,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.22 : 13,713.86 = 4,767.12 : x
  2. Step 2: Convert to fraction form
    9,149.22/13,713.86 = 4,767.12/x
  3. Step 3: Cross multiply
    9,149.22x = 13,713.86 × 4,767.12
  4. Step 4: Simplify right side
    9,149.22x = 65,375,616.28
  5. Step 5: Solve for x
    x = 65,375,616.28/9,149.22
  6. Step 6: Final answer
    x = 7,145.49

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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.