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Finding the Fourth Proportional to 6,663.31, 9,195.22 and 3,638.33

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Solution

The fourth proportional to 6,663.31, 9,195.22 and 3,638.33 is: 5,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.31 : 9,195.22 = 3,638.33 : x
  2. Step 2: Convert to fraction form
    6,663.31/9,195.22 = 3,638.33/x
  3. Step 3: Cross multiply
    6,663.31x = 9,195.22 × 3,638.33
  4. Step 4: Simplify right side
    6,663.31x = 33,455,244.78
  5. Step 5: Solve for x
    x = 33,455,244.78/6,663.31
  6. Step 6: Final answer
    x = 5,020.81

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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.