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Finding the Fourth Proportional to 9,738.92, 13,436.01 and 5,959.05

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Solution

The fourth proportional to 9,738.92, 13,436.01 and 5,959.05 is: 8,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.92 : 13,436.01 = 5,959.05 : x
  2. Step 2: Convert to fraction form
    9,738.92/13,436.01 = 5,959.05/x
  3. Step 3: Cross multiply
    9,738.92x = 13,436.01 × 5,959.05
  4. Step 4: Simplify right side
    9,738.92x = 80,065,855.39
  5. Step 5: Solve for x
    x = 80,065,855.39/9,738.92
  6. Step 6: Final answer
    x = 8,221.23

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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.