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Finding the Fourth Proportional to 6,539.92, 9,814.01 and 2,380.22

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Solution

The fourth proportional to 6,539.92, 9,814.01 and 2,380.22 is: 3,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.92 : 9,814.01 = 2,380.22 : x
  2. Step 2: Convert to fraction form
    6,539.92/9,814.01 = 2,380.22/x
  3. Step 3: Cross multiply
    6,539.92x = 9,814.01 × 2,380.22
  4. Step 4: Simplify right side
    6,539.92x = 23,359,441.91
  5. Step 5: Solve for x
    x = 23,359,441.91/6,539.92
  6. Step 6: Final answer
    x = 3,571.83

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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.