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Finding the Fourth Proportional to 6,213.86, 8,573.28 and 3,694.70

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Solution

The fourth proportional to 6,213.86, 8,573.28 and 3,694.70 is: 5,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.86 : 8,573.28 = 3,694.70 : x
  2. Step 2: Convert to fraction form
    6,213.86/8,573.28 = 3,694.70/x
  3. Step 3: Cross multiply
    6,213.86x = 8,573.28 × 3,694.70
  4. Step 4: Simplify right side
    6,213.86x = 31,675,697.62
  5. Step 5: Solve for x
    x = 31,675,697.62/6,213.86
  6. Step 6: Final answer
    x = 5,097.59

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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.