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Finding the Fourth Proportional to 9,514.63, 14,272.79 and 2,494.63

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Solution

The fourth proportional to 9,514.63, 14,272.79 and 2,494.63 is: 3,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.63 : 14,272.79 = 2,494.63 : x
  2. Step 2: Convert to fraction form
    9,514.63/14,272.79 = 2,494.63/x
  3. Step 3: Cross multiply
    9,514.63x = 14,272.79 × 2,494.63
  4. Step 4: Simplify right side
    9,514.63x = 35,605,252.52
  5. Step 5: Solve for x
    x = 35,605,252.52/9,514.63
  6. Step 6: Final answer
    x = 3,742.16

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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.