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Finding the Fourth Proportional to 9,514.24, 14,272.17 and 2,494.24

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Solution

The fourth proportional to 9,514.24, 14,272.17 and 2,494.24 is: 3,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.24 : 14,272.17 = 2,494.24 : x
  2. Step 2: Convert to fraction form
    9,514.24/14,272.17 = 2,494.24/x
  3. Step 3: Cross multiply
    9,514.24x = 14,272.17 × 2,494.24
  4. Step 4: Simplify right side
    9,514.24x = 35,598,217.30
  5. Step 5: Solve for x
    x = 35,598,217.30/9,514.24
  6. Step 6: Final answer
    x = 3,741.57

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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.