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Finding the Fourth Proportional to 6,238.97, 9,309.35 and 6,027.56

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Solution

The fourth proportional to 6,238.97, 9,309.35 and 6,027.56 is: 8,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.97 : 9,309.35 = 6,027.56 : x
  2. Step 2: Convert to fraction form
    6,238.97/9,309.35 = 6,027.56/x
  3. Step 3: Cross multiply
    6,238.97x = 9,309.35 × 6,027.56
  4. Step 4: Simplify right side
    6,238.97x = 56,112,619.14
  5. Step 5: Solve for x
    x = 56,112,619.14/6,238.97
  6. Step 6: Final answer
    x = 8,993.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.