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Finding the Fourth Proportional to 6,649.26, 9,176.09 and 3,996.15

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Solution

The fourth proportional to 6,649.26, 9,176.09 and 3,996.15 is: 5,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.26 : 9,176.09 = 3,996.15 : x
  2. Step 2: Convert to fraction form
    6,649.26/9,176.09 = 3,996.15/x
  3. Step 3: Cross multiply
    6,649.26x = 9,176.09 × 3,996.15
  4. Step 4: Simplify right side
    6,649.26x = 36,669,012.07
  5. Step 5: Solve for x
    x = 36,669,012.07/6,649.26
  6. Step 6: Final answer
    x = 5,514.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.