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Finding the Fourth Proportional to 6,364.20, 9,545.40 and 1,982.10

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Solution

The fourth proportional to 6,364.20, 9,545.40 and 1,982.10 is: 2,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.20 : 9,545.40 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    6,364.20/9,545.40 = 1,982.10/x
  3. Step 3: Cross multiply
    6,364.20x = 9,545.40 × 1,982.10
  4. Step 4: Simplify right side
    6,364.20x = 18,919,937.34
  5. Step 5: Solve for x
    x = 18,919,937.34/6,364.20
  6. Step 6: Final answer
    x = 2,972.87

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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.