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Finding the Fourth Proportional to 6,649.04, 9,174.12 and 3,996.56

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Solution

The fourth proportional to 6,649.04, 9,174.12 and 3,996.56 is: 5,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.04 : 9,174.12 = 3,996.56 : x
  2. Step 2: Convert to fraction form
    6,649.04/9,174.12 = 3,996.56/x
  3. Step 3: Cross multiply
    6,649.04x = 9,174.12 × 3,996.56
  4. Step 4: Simplify right side
    6,649.04x = 36,664,921.03
  5. Step 5: Solve for x
    x = 36,664,921.03/6,649.04
  6. Step 6: Final answer
    x = 5,514.32

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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.