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Finding the Fourth Proportional to 9,740.97, 13,441.82 and 5,965.25

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Solution

The fourth proportional to 9,740.97, 13,441.82 and 5,965.25 is: 8,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.97 : 13,441.82 = 5,965.25 : x
  2. Step 2: Convert to fraction form
    9,740.97/13,441.82 = 5,965.25/x
  3. Step 3: Cross multiply
    9,740.97x = 13,441.82 × 5,965.25
  4. Step 4: Simplify right side
    9,740.97x = 80,183,719.72
  5. Step 5: Solve for x
    x = 80,183,719.72/9,740.97
  6. Step 6: Final answer
    x = 8,231.59

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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.