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Finding the Fourth Proportional to 9,422.75, 14,131.85 and 2,849.47

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Solution

The fourth proportional to 9,422.75, 14,131.85 and 2,849.47 is: 4,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.75 : 14,131.85 = 2,849.47 : x
  2. Step 2: Convert to fraction form
    9,422.75/14,131.85 = 2,849.47/x
  3. Step 3: Cross multiply
    9,422.75x = 14,131.85 × 2,849.47
  4. Step 4: Simplify right side
    9,422.75x = 40,268,233.04
  5. Step 5: Solve for x
    x = 40,268,233.04/9,422.75
  6. Step 6: Final answer
    x = 4,273.51

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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.