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Finding the Fourth Proportional to 9,865.97, 13,614.64 and 5,835.41

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Solution

The fourth proportional to 9,865.97, 13,614.64 and 5,835.41 is: 8,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.97 : 13,614.64 = 5,835.41 : x
  2. Step 2: Convert to fraction form
    9,865.97/13,614.64 = 5,835.41/x
  3. Step 3: Cross multiply
    9,865.97x = 13,614.64 × 5,835.41
  4. Step 4: Simplify right side
    9,865.97x = 79,446,974.80
  5. Step 5: Solve for x
    x = 79,446,974.80/9,865.97
  6. Step 6: Final answer
    x = 8,052.63

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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.