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Finding the Fourth Proportional to 6,204.90, 9,310.08 and 2,514.33

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Solution

The fourth proportional to 6,204.90, 9,310.08 and 2,514.33 is: 3,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.90 : 9,310.08 = 2,514.33 : x
  2. Step 2: Convert to fraction form
    6,204.90/9,310.08 = 2,514.33/x
  3. Step 3: Cross multiply
    6,204.90x = 9,310.08 × 2,514.33
  4. Step 4: Simplify right side
    6,204.90x = 23,408,613.45
  5. Step 5: Solve for x
    x = 23,408,613.45/6,204.90
  6. Step 6: Final answer
    x = 3,772.60

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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.