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Finding the Fourth Proportional to 9,231.78, 13,844.70 and 3,965.36

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Solution

The fourth proportional to 9,231.78, 13,844.70 and 3,965.36 is: 5,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.78 : 13,844.70 = 3,965.36 : x
  2. Step 2: Convert to fraction form
    9,231.78/13,844.70 = 3,965.36/x
  3. Step 3: Cross multiply
    9,231.78x = 13,844.70 × 3,965.36
  4. Step 4: Simplify right side
    9,231.78x = 54,899,219.59
  5. Step 5: Solve for x
    x = 54,899,219.59/9,231.78
  6. Step 6: Final answer
    x = 5,946.76

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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.