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Finding the Fourth Proportional to 6,370.64, 9,550.26 and 2,474.12

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Solution

The fourth proportional to 6,370.64, 9,550.26 and 2,474.12 is: 3,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.64 : 9,550.26 = 2,474.12 : x
  2. Step 2: Convert to fraction form
    6,370.64/9,550.26 = 2,474.12/x
  3. Step 3: Cross multiply
    6,370.64x = 9,550.26 × 2,474.12
  4. Step 4: Simplify right side
    6,370.64x = 23,628,489.27
  5. Step 5: Solve for x
    x = 23,628,489.27/6,370.64
  6. Step 6: Final answer
    x = 3,708.97

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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.