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Finding the Fourth Proportional to 6,137.12, 8,469.24 and 3,342.80

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Solution

The fourth proportional to 6,137.12, 8,469.24 and 3,342.80 is: 4,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.12 : 8,469.24 = 3,342.80 : x
  2. Step 2: Convert to fraction form
    6,137.12/8,469.24 = 3,342.80/x
  3. Step 3: Cross multiply
    6,137.12x = 8,469.24 × 3,342.80
  4. Step 4: Simplify right side
    6,137.12x = 28,310,975.47
  5. Step 5: Solve for x
    x = 28,310,975.47/6,137.12
  6. Step 6: Final answer
    x = 4,613.07

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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.