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Finding the Fourth Proportional to 6,238.42, 9,358.03 and 2,078.81

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Solution

The fourth proportional to 6,238.42, 9,358.03 and 2,078.81 is: 3,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.42 : 9,358.03 = 2,078.81 : x
  2. Step 2: Convert to fraction form
    6,238.42/9,358.03 = 2,078.81/x
  3. Step 3: Cross multiply
    6,238.42x = 9,358.03 × 2,078.81
  4. Step 4: Simplify right side
    6,238.42x = 19,453,609.88
  5. Step 5: Solve for x
    x = 19,453,609.88/6,238.42
  6. Step 6: Final answer
    x = 3,118.36

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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.