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Finding the Fourth Proportional to 9,494.21, 13,101.55 and 5,514.68

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Solution

The fourth proportional to 9,494.21, 13,101.55 and 5,514.68 is: 7,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.21 : 13,101.55 = 5,514.68 : x
  2. Step 2: Convert to fraction form
    9,494.21/13,101.55 = 5,514.68/x
  3. Step 3: Cross multiply
    9,494.21x = 13,101.55 × 5,514.68
  4. Step 4: Simplify right side
    9,494.21x = 72,250,874.72
  5. Step 5: Solve for x
    x = 72,250,874.72/9,494.21
  6. Step 6: Final answer
    x = 7,609.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.