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Finding the Fourth Proportional to 6,514.17, 9,771.12 and 4,175.31

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Solution

The fourth proportional to 6,514.17, 9,771.12 and 4,175.31 is: 6,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.17 : 9,771.12 = 4,175.31 : x
  2. Step 2: Convert to fraction form
    6,514.17/9,771.12 = 4,175.31/x
  3. Step 3: Cross multiply
    6,514.17x = 9,771.12 × 4,175.31
  4. Step 4: Simplify right side
    6,514.17x = 40,797,455.05
  5. Step 5: Solve for x
    x = 40,797,455.05/6,514.17
  6. Step 6: Final answer
    x = 6,262.88

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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.