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Finding the Fourth Proportional to 6,238.35, 9,359.03 and 2,078.40

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Solution

The fourth proportional to 6,238.35, 9,359.03 and 2,078.40 is: 3,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.35 : 9,359.03 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    6,238.35/9,359.03 = 2,078.40/x
  3. Step 3: Cross multiply
    6,238.35x = 9,359.03 × 2,078.40
  4. Step 4: Simplify right side
    6,238.35x = 19,451,797.56
  5. Step 5: Solve for x
    x = 19,451,797.56/6,238.35
  6. Step 6: Final answer
    x = 3,118.10

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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.