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Finding the Fourth Proportional to 6,137.25, 8,469.59 and 3,342.93

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Solution

The fourth proportional to 6,137.25, 8,469.59 and 3,342.93 is: 4,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.25 : 8,469.59 = 3,342.93 : x
  2. Step 2: Convert to fraction form
    6,137.25/8,469.59 = 3,342.93/x
  3. Step 3: Cross multiply
    6,137.25x = 8,469.59 × 3,342.93
  4. Step 4: Simplify right side
    6,137.25x = 28,313,229.78
  5. Step 5: Solve for x
    x = 28,313,229.78/6,137.25
  6. Step 6: Final answer
    x = 4,613.34

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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.