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Finding the Fourth Proportional to 6,626.29, 9,144.30 and 3,642.43

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Solution

The fourth proportional to 6,626.29, 9,144.30 and 3,642.43 is: 5,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.29 : 9,144.30 = 3,642.43 : x
  2. Step 2: Convert to fraction form
    6,626.29/9,144.30 = 3,642.43/x
  3. Step 3: Cross multiply
    6,626.29x = 9,144.30 × 3,642.43
  4. Step 4: Simplify right side
    6,626.29x = 33,307,472.65
  5. Step 5: Solve for x
    x = 33,307,472.65/6,626.29
  6. Step 6: Final answer
    x = 5,026.56

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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.