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Finding the Fourth Proportional to 6,238.91, 9,358.27 and 1,856.41

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Solution

The fourth proportional to 6,238.91, 9,358.27 and 1,856.41 is: 2,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.91 : 9,358.27 = 1,856.41 : x
  2. Step 2: Convert to fraction form
    6,238.91/9,358.27 = 1,856.41/x
  3. Step 3: Cross multiply
    6,238.91x = 9,358.27 × 1,856.41
  4. Step 4: Simplify right side
    6,238.91x = 17,372,757.97
  5. Step 5: Solve for x
    x = 17,372,757.97/6,238.91
  6. Step 6: Final answer
    x = 2,784.58

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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.