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Finding the Fourth Proportional to 9,738.83, 13,438.78 and 5,960.39

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Solution

The fourth proportional to 9,738.83, 13,438.78 and 5,960.39 is: 8,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.83 : 13,438.78 = 5,960.39 : x
  2. Step 2: Convert to fraction form
    9,738.83/13,438.78 = 5,960.39/x
  3. Step 3: Cross multiply
    9,738.83x = 13,438.78 × 5,960.39
  4. Step 4: Simplify right side
    9,738.83x = 80,100,287.83
  5. Step 5: Solve for x
    x = 80,100,287.83/9,738.83
  6. Step 6: Final answer
    x = 8,224.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.