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Finding the Fourth Proportional to 9,743.33, 13,448.20 and 5,965.81

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Solution

The fourth proportional to 9,743.33, 13,448.20 and 5,965.81 is: 8,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.33 : 13,448.20 = 5,965.81 : x
  2. Step 2: Convert to fraction form
    9,743.33/13,448.20 = 5,965.81/x
  3. Step 3: Cross multiply
    9,743.33x = 13,448.20 × 5,965.81
  4. Step 4: Simplify right side
    9,743.33x = 80,229,406.04
  5. Step 5: Solve for x
    x = 80,229,406.04/9,743.33
  6. Step 6: Final answer
    x = 8,234.29

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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.