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Finding the Fourth Proportional to 6,440.34, 9,661.16 and 1,997.85

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Solution

The fourth proportional to 6,440.34, 9,661.16 and 1,997.85 is: 2,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.34 : 9,661.16 = 1,997.85 : x
  2. Step 2: Convert to fraction form
    6,440.34/9,661.16 = 1,997.85/x
  3. Step 3: Cross multiply
    6,440.34x = 9,661.16 × 1,997.85
  4. Step 4: Simplify right side
    6,440.34x = 19,301,490.21
  5. Step 5: Solve for x
    x = 19,301,490.21/6,440.34
  6. Step 6: Final answer
    x = 2,996.97

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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.