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Finding the Fourth Proportional to 6,424.88, 9,637.48 and 2,042.33

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Solution

The fourth proportional to 6,424.88, 9,637.48 and 2,042.33 is: 3,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.88 : 9,637.48 = 2,042.33 : x
  2. Step 2: Convert to fraction form
    6,424.88/9,637.48 = 2,042.33/x
  3. Step 3: Cross multiply
    6,424.88x = 9,637.48 × 2,042.33
  4. Step 4: Simplify right side
    6,424.88x = 19,682,923.10
  5. Step 5: Solve for x
    x = 19,682,923.10/6,424.88
  6. Step 6: Final answer
    x = 3,063.55

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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.