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Finding the Fourth Proportional to 9,786.60, 14,674.41 and 3,936.36

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Solution

The fourth proportional to 9,786.60, 14,674.41 and 3,936.36 is: 5,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.60 : 14,674.41 = 3,936.36 : x
  2. Step 2: Convert to fraction form
    9,786.60/14,674.41 = 3,936.36/x
  3. Step 3: Cross multiply
    9,786.60x = 14,674.41 × 3,936.36
  4. Step 4: Simplify right side
    9,786.60x = 57,763,760.55
  5. Step 5: Solve for x
    x = 57,763,760.55/9,786.60
  6. Step 6: Final answer
    x = 5,902.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.