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Finding the Fourth Proportional to 6,137.92, 8,467.63 and 4,147.75

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Solution

The fourth proportional to 6,137.92, 8,467.63 and 4,147.75 is: 5,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.92 : 8,467.63 = 4,147.75 : x
  2. Step 2: Convert to fraction form
    6,137.92/8,467.63 = 4,147.75/x
  3. Step 3: Cross multiply
    6,137.92x = 8,467.63 × 4,147.75
  4. Step 4: Simplify right side
    6,137.92x = 35,121,612.33
  5. Step 5: Solve for x
    x = 35,121,612.33/6,137.92
  6. Step 6: Final answer
    x = 5,722.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.