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Finding the Fourth Proportional to 6,209.66, 9,321.11 and 2,514.30

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Solution

The fourth proportional to 6,209.66, 9,321.11 and 2,514.30 is: 3,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.66 : 9,321.11 = 2,514.30 : x
  2. Step 2: Convert to fraction form
    6,209.66/9,321.11 = 2,514.30/x
  3. Step 3: Cross multiply
    6,209.66x = 9,321.11 × 2,514.30
  4. Step 4: Simplify right side
    6,209.66x = 23,436,073.16
  5. Step 5: Solve for x
    x = 23,436,073.16/6,209.66
  6. Step 6: Final answer
    x = 3,774.13

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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.