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Finding the Fourth Proportional to 6,626.38, 9,144.41 and 3,642.22

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Solution

The fourth proportional to 6,626.38, 9,144.41 and 3,642.22 is: 5,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.38 : 9,144.41 = 3,642.22 : x
  2. Step 2: Convert to fraction form
    6,626.38/9,144.41 = 3,642.22/x
  3. Step 3: Cross multiply
    6,626.38x = 9,144.41 × 3,642.22
  4. Step 4: Simplify right side
    6,626.38x = 33,305,952.99
  5. Step 5: Solve for x
    x = 33,305,952.99/6,626.38
  6. Step 6: Final answer
    x = 5,026.27

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Why These Related Problems?

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