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Finding the Fourth Proportional to 9,640.42, 14,450.77 and 5,471.62

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Solution

The fourth proportional to 9,640.42, 14,450.77 and 5,471.62 is: 8,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.42 : 14,450.77 = 5,471.62 : x
  2. Step 2: Convert to fraction form
    9,640.42/14,450.77 = 5,471.62/x
  3. Step 3: Cross multiply
    9,640.42x = 14,450.77 × 5,471.62
  4. Step 4: Simplify right side
    9,640.42x = 79,069,122.15
  5. Step 5: Solve for x
    x = 79,069,122.15/9,640.42
  6. Step 6: Final answer
    x = 8,201.83

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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.