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Finding the Fourth Proportional to 6,412.33, 9,617.01 and 2,028.97

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Solution

The fourth proportional to 6,412.33, 9,617.01 and 2,028.97 is: 3,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.33 : 9,617.01 = 2,028.97 : x
  2. Step 2: Convert to fraction form
    6,412.33/9,617.01 = 2,028.97/x
  3. Step 3: Cross multiply
    6,412.33x = 9,617.01 × 2,028.97
  4. Step 4: Simplify right side
    6,412.33x = 19,512,624.78
  5. Step 5: Solve for x
    x = 19,512,624.78/6,412.33
  6. Step 6: Final answer
    x = 3,042.99

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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.