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Finding the Fourth Proportional to 6,518.08, 9,764.82 and 3,227.32

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Solution

The fourth proportional to 6,518.08, 9,764.82 and 3,227.32 is: 4,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.08 : 9,764.82 = 3,227.32 : x
  2. Step 2: Convert to fraction form
    6,518.08/9,764.82 = 3,227.32/x
  3. Step 3: Cross multiply
    6,518.08x = 9,764.82 × 3,227.32
  4. Step 4: Simplify right side
    6,518.08x = 31,514,198.88
  5. Step 5: Solve for x
    x = 31,514,198.88/6,518.08
  6. Step 6: Final answer
    x = 4,834.89

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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.