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Finding the Fourth Proportional to 6,443.67, 9,665.75 and 2,001.80

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Solution

The fourth proportional to 6,443.67, 9,665.75 and 2,001.80 is: 3,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.67 : 9,665.75 = 2,001.80 : x
  2. Step 2: Convert to fraction form
    6,443.67/9,665.75 = 2,001.80/x
  3. Step 3: Cross multiply
    6,443.67x = 9,665.75 × 2,001.80
  4. Step 4: Simplify right side
    6,443.67x = 19,348,861.89
  5. Step 5: Solve for x
    x = 19,348,861.89/6,443.67
  6. Step 6: Final answer
    x = 3,002.77

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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.