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Finding the Fourth Proportional to 6,443.20, 9,665.05 and 2,001.32

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Solution

The fourth proportional to 6,443.20, 9,665.05 and 2,001.32 is: 3,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.20 : 9,665.05 = 2,001.32 : x
  2. Step 2: Convert to fraction form
    6,443.20/9,665.05 = 2,001.32/x
  3. Step 3: Cross multiply
    6,443.20x = 9,665.05 × 2,001.32
  4. Step 4: Simplify right side
    6,443.20x = 19,342,857.87
  5. Step 5: Solve for x
    x = 19,342,857.87/6,443.20
  6. Step 6: Final answer
    x = 3,002.06

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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.