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Finding the Fourth Proportional to 6,626.72, 9,144.92 and 3,642.80

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Solution

The fourth proportional to 6,626.72, 9,144.92 and 3,642.80 is: 5,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.72 : 9,144.92 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    6,626.72/9,144.92 = 3,642.80/x
  3. Step 3: Cross multiply
    6,626.72x = 9,144.92 × 3,642.80
  4. Step 4: Simplify right side
    6,626.72x = 33,313,114.58
  5. Step 5: Solve for x
    x = 33,313,114.58/6,626.72
  6. Step 6: Final answer
    x = 5,027.09

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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.