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Finding the Fourth Proportional to 9,735.77, 13,436.42 and 5,961.48

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Solution

The fourth proportional to 9,735.77, 13,436.42 and 5,961.48 is: 8,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.77 : 13,436.42 = 5,961.48 : x
  2. Step 2: Convert to fraction form
    9,735.77/13,436.42 = 5,961.48/x
  3. Step 3: Cross multiply
    9,735.77x = 13,436.42 × 5,961.48
  4. Step 4: Simplify right side
    9,735.77x = 80,100,949.10
  5. Step 5: Solve for x
    x = 80,100,949.10/9,735.77
  6. Step 6: Final answer
    x = 8,227.49

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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.