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Finding the Fourth Proportional to 6,443.49, 9,665.10 and 2,060.94

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Solution

The fourth proportional to 6,443.49, 9,665.10 and 2,060.94 is: 3,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.49 : 9,665.10 = 2,060.94 : x
  2. Step 2: Convert to fraction form
    6,443.49/9,665.10 = 2,060.94/x
  3. Step 3: Cross multiply
    6,443.49x = 9,665.10 × 2,060.94
  4. Step 4: Simplify right side
    6,443.49x = 19,919,191.19
  5. Step 5: Solve for x
    x = 19,919,191.19/6,443.49
  6. Step 6: Final answer
    x = 3,091.37

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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.