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Finding the Fourth Proportional to 9,514.74, 14,272.92 and 2,494.74

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Solution

The fourth proportional to 9,514.74, 14,272.92 and 2,494.74 is: 3,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.74 : 14,272.92 = 2,494.74 : x
  2. Step 2: Convert to fraction form
    9,514.74/14,272.92 = 2,494.74/x
  3. Step 3: Cross multiply
    9,514.74x = 14,272.92 × 2,494.74
  4. Step 4: Simplify right side
    9,514.74x = 35,607,224.44
  5. Step 5: Solve for x
    x = 35,607,224.44/9,514.74
  6. Step 6: Final answer
    x = 3,742.32

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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.