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Finding the Fourth Proportional to 6,520.14, 9,782.02 and 2,140.68

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Solution

The fourth proportional to 6,520.14, 9,782.02 and 2,140.68 is: 3,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.14 : 9,782.02 = 2,140.68 : x
  2. Step 2: Convert to fraction form
    6,520.14/9,782.02 = 2,140.68/x
  3. Step 3: Cross multiply
    6,520.14x = 9,782.02 × 2,140.68
  4. Step 4: Simplify right side
    6,520.14x = 20,940,174.57
  5. Step 5: Solve for x
    x = 20,940,174.57/6,520.14
  6. Step 6: Final answer
    x = 3,211.61

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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.