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Finding the Fourth Proportional to 6,443.74, 9,665.15 and 2,001.28

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Solution

The fourth proportional to 6,443.74, 9,665.15 and 2,001.28 is: 3,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.74 : 9,665.15 = 2,001.28 : x
  2. Step 2: Convert to fraction form
    6,443.74/9,665.15 = 2,001.28/x
  3. Step 3: Cross multiply
    6,443.74x = 9,665.15 × 2,001.28
  4. Step 4: Simplify right side
    6,443.74x = 19,342,671.39
  5. Step 5: Solve for x
    x = 19,342,671.39/6,443.74
  6. Step 6: Final answer
    x = 3,001.78

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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.