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Finding the Fourth Proportional to 9,739.68, 14,600.26 and 3,161.26

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Solution

The fourth proportional to 9,739.68, 14,600.26 and 3,161.26 is: 4,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.68 : 14,600.26 = 3,161.26 : x
  2. Step 2: Convert to fraction form
    9,739.68/14,600.26 = 3,161.26/x
  3. Step 3: Cross multiply
    9,739.68x = 14,600.26 × 3,161.26
  4. Step 4: Simplify right side
    9,739.68x = 46,155,217.93
  5. Step 5: Solve for x
    x = 46,155,217.93/9,739.68
  6. Step 6: Final answer
    x = 4,738.88

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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.