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Finding the Fourth Proportional to 6,214.68, 8,576.10 and 3,382.02

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Solution

The fourth proportional to 6,214.68, 8,576.10 and 3,382.02 is: 4,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.68 : 8,576.10 = 3,382.02 : x
  2. Step 2: Convert to fraction form
    6,214.68/8,576.10 = 3,382.02/x
  3. Step 3: Cross multiply
    6,214.68x = 8,576.10 × 3,382.02
  4. Step 4: Simplify right side
    6,214.68x = 29,004,541.72
  5. Step 5: Solve for x
    x = 29,004,541.72/6,214.68
  6. Step 6: Final answer
    x = 4,667.10

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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.