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Finding the Fourth Proportional to 9,514.54, 14,272.60 and 2,494.54

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Solution

The fourth proportional to 9,514.54, 14,272.60 and 2,494.54 is: 3,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.54 : 14,272.60 = 2,494.54 : x
  2. Step 2: Convert to fraction form
    9,514.54/14,272.60 = 2,494.54/x
  3. Step 3: Cross multiply
    9,514.54x = 14,272.60 × 2,494.54
  4. Step 4: Simplify right side
    9,514.54x = 35,603,571.60
  5. Step 5: Solve for x
    x = 35,603,571.60/9,514.54
  6. Step 6: Final answer
    x = 3,742.02

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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.