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Finding the Fourth Proportional to 6,105.43, 8,425.41 and 3,416.69

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Solution

The fourth proportional to 6,105.43, 8,425.41 and 3,416.69 is: 4,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.43 : 8,425.41 = 3,416.69 : x
  2. Step 2: Convert to fraction form
    6,105.43/8,425.41 = 3,416.69/x
  3. Step 3: Cross multiply
    6,105.43x = 8,425.41 × 3,416.69
  4. Step 4: Simplify right side
    6,105.43x = 28,787,014.09
  5. Step 5: Solve for x
    x = 28,787,014.09/6,105.43
  6. Step 6: Final answer
    x = 4,714.99

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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.