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Finding the Fourth Proportional to 6,214.56, 8,576.10 and 3,381.95

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Solution

The fourth proportional to 6,214.56, 8,576.10 and 3,381.95 is: 4,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.56 : 8,576.10 = 3,381.95 : x
  2. Step 2: Convert to fraction form
    6,214.56/8,576.10 = 3,381.95/x
  3. Step 3: Cross multiply
    6,214.56x = 8,576.10 × 3,381.95
  4. Step 4: Simplify right side
    6,214.56x = 29,003,908.25
  5. Step 5: Solve for x
    x = 29,003,908.25/6,214.56
  6. Step 6: Final answer
    x = 4,667.09

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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.