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Finding the Fourth Proportional to 6,238.60, 9,354.06 and 2,134.92

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Solution

The fourth proportional to 6,238.60, 9,354.06 and 2,134.92 is: 3,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.60 : 9,354.06 = 2,134.92 : x
  2. Step 2: Convert to fraction form
    6,238.60/9,354.06 = 2,134.92/x
  3. Step 3: Cross multiply
    6,238.60x = 9,354.06 × 2,134.92
  4. Step 4: Simplify right side
    6,238.60x = 19,970,169.78
  5. Step 5: Solve for x
    x = 19,970,169.78/6,238.60
  6. Step 6: Final answer
    x = 3,201.07

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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.