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Finding the Fourth Proportional to 6,443.92, 9,666.35 and 2,001

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Solution

The fourth proportional to 6,443.92, 9,666.35 and 2,001 is: 3,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.92 : 9,666.35 = 2,001 : x
  2. Step 2: Convert to fraction form
    6,443.92/9,666.35 = 2,001/x
  3. Step 3: Cross multiply
    6,443.92x = 9,666.35 × 2,001
  4. Step 4: Simplify right side
    6,443.92x = 19,342,366.35
  5. Step 5: Solve for x
    x = 19,342,366.35/6,443.92
  6. Step 6: Final answer
    x = 3,001.65

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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.