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Finding the Fourth Proportional to 9,514.76, 14,272.12 and 2,589.26

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Solution

The fourth proportional to 9,514.76, 14,272.12 and 2,589.26 is: 3,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.76 : 14,272.12 = 2,589.26 : x
  2. Step 2: Convert to fraction form
    9,514.76/14,272.12 = 2,589.26/x
  3. Step 3: Cross multiply
    9,514.76x = 14,272.12 × 2,589.26
  4. Step 4: Simplify right side
    9,514.76x = 36,954,229.43
  5. Step 5: Solve for x
    x = 36,954,229.43/9,514.76
  6. Step 6: Final answer
    x = 3,883.88

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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.