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Finding the Fourth Proportional to 6,520.70, 9,782.85 and 2,141.21

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Solution

The fourth proportional to 6,520.70, 9,782.85 and 2,141.21 is: 3,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.70 : 9,782.85 = 2,141.21 : x
  2. Step 2: Convert to fraction form
    6,520.70/9,782.85 = 2,141.21/x
  3. Step 3: Cross multiply
    6,520.70x = 9,782.85 × 2,141.21
  4. Step 4: Simplify right side
    6,520.70x = 20,947,136.25
  5. Step 5: Solve for x
    x = 20,947,136.25/6,520.70
  6. Step 6: Final answer
    x = 3,212.41

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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.