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Finding the Fourth Proportional to 6,371.82, 9,557.79 and 1,989.30

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Solution

The fourth proportional to 6,371.82, 9,557.79 and 1,989.30 is: 2,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.82 : 9,557.79 = 1,989.30 : x
  2. Step 2: Convert to fraction form
    6,371.82/9,557.79 = 1,989.30/x
  3. Step 3: Cross multiply
    6,371.82x = 9,557.79 × 1,989.30
  4. Step 4: Simplify right side
    6,371.82x = 19,013,311.65
  5. Step 5: Solve for x
    x = 19,013,311.65/6,371.82
  6. Step 6: Final answer
    x = 2,983.97

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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.