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Finding the Fourth Proportional to 6,422.75, 9,634.13 and 1,805.75

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Solution

The fourth proportional to 6,422.75, 9,634.13 and 1,805.75 is: 2,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.75 : 9,634.13 = 1,805.75 : x
  2. Step 2: Convert to fraction form
    6,422.75/9,634.13 = 1,805.75/x
  3. Step 3: Cross multiply
    6,422.75x = 9,634.13 × 1,805.75
  4. Step 4: Simplify right side
    6,422.75x = 17,396,821.22
  5. Step 5: Solve for x
    x = 17,396,821.22/6,422.75
  6. Step 6: Final answer
    x = 2,708.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.