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Finding the Fourth Proportional to 6,652.31, 9,180 and 3,668.09

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Solution

The fourth proportional to 6,652.31, 9,180 and 3,668.09 is: 5,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.31 : 9,180 = 3,668.09 : x
  2. Step 2: Convert to fraction form
    6,652.31/9,180 = 3,668.09/x
  3. Step 3: Cross multiply
    6,652.31x = 9,180 × 3,668.09
  4. Step 4: Simplify right side
    6,652.31x = 33,673,020.30
  5. Step 5: Solve for x
    x = 33,673,020.30/6,652.31
  6. Step 6: Final answer
    x = 5,061.86

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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.