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Finding the Fourth Proportional to 6,626.73, 9,144.87 and 3,642.75

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Solution

The fourth proportional to 6,626.73, 9,144.87 and 3,642.75 is: 5,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.73 : 9,144.87 = 3,642.75 : x
  2. Step 2: Convert to fraction form
    6,626.73/9,144.87 = 3,642.75/x
  3. Step 3: Cross multiply
    6,626.73x = 9,144.87 × 3,642.75
  4. Step 4: Simplify right side
    6,626.73x = 33,312,475.19
  5. Step 5: Solve for x
    x = 33,312,475.19/6,626.73
  6. Step 6: Final answer
    x = 5,026.99

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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.