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Finding the Fourth Proportional to 6,201.28, 9,303.04 and 2,738.56

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Solution

The fourth proportional to 6,201.28, 9,303.04 and 2,738.56 is: 4,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.28 : 9,303.04 = 2,738.56 : x
  2. Step 2: Convert to fraction form
    6,201.28/9,303.04 = 2,738.56/x
  3. Step 3: Cross multiply
    6,201.28x = 9,303.04 × 2,738.56
  4. Step 4: Simplify right side
    6,201.28x = 25,476,933.22
  5. Step 5: Solve for x
    x = 25,476,933.22/6,201.28
  6. Step 6: Final answer
    x = 4,108.33

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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.