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Finding the Fourth Proportional to 6,238.94, 9,361.34 and 2,728.50

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Solution

The fourth proportional to 6,238.94, 9,361.34 and 2,728.50 is: 4,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.94 : 9,361.34 = 2,728.50 : x
  2. Step 2: Convert to fraction form
    6,238.94/9,361.34 = 2,728.50/x
  3. Step 3: Cross multiply
    6,238.94x = 9,361.34 × 2,728.50
  4. Step 4: Simplify right side
    6,238.94x = 25,542,430.33
  5. Step 5: Solve for x
    x = 25,542,430.33/6,238.94
  6. Step 6: Final answer
    x = 4,094.03

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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.