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Finding the Fourth Proportional to 6,239.94, 9,361.94 and 1,857.44

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Solution

The fourth proportional to 6,239.94, 9,361.94 and 1,857.44 is: 2,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.94 : 9,361.94 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    6,239.94/9,361.94 = 1,857.44/x
  3. Step 3: Cross multiply
    6,239.94x = 9,361.94 × 1,857.44
  4. Step 4: Simplify right side
    6,239.94x = 17,389,185.74
  5. Step 5: Solve for x
    x = 17,389,185.74/6,239.94
  6. Step 6: Final answer
    x = 2,786.76

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Why These Related Problems?

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