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Finding the Fourth Proportional to 6,351.48, 9,514.26 and 3,267

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Solution

The fourth proportional to 6,351.48, 9,514.26 and 3,267 is: 4,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.48 : 9,514.26 = 3,267 : x
  2. Step 2: Convert to fraction form
    6,351.48/9,514.26 = 3,267/x
  3. Step 3: Cross multiply
    6,351.48x = 9,514.26 × 3,267
  4. Step 4: Simplify right side
    6,351.48x = 31,083,087.42
  5. Step 5: Solve for x
    x = 31,083,087.42/6,351.48
  6. Step 6: Final answer
    x = 4,893.83

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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.