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Finding the Fourth Proportional to 6,214.62, 8,576.06 and 3,697.94

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Solution

The fourth proportional to 6,214.62, 8,576.06 and 3,697.94 is: 5,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.62 : 8,576.06 = 3,697.94 : x
  2. Step 2: Convert to fraction form
    6,214.62/8,576.06 = 3,697.94/x
  3. Step 3: Cross multiply
    6,214.62x = 8,576.06 × 3,697.94
  4. Step 4: Simplify right side
    6,214.62x = 31,713,755.32
  5. Step 5: Solve for x
    x = 31,713,755.32/6,214.62
  6. Step 6: Final answer
    x = 5,103.09

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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.