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Finding the Fourth Proportional to 6,214.78, 8,576.14 and 3,382.17

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Solution

The fourth proportional to 6,214.78, 8,576.14 and 3,382.17 is: 4,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.78 : 8,576.14 = 3,382.17 : x
  2. Step 2: Convert to fraction form
    6,214.78/8,576.14 = 3,382.17/x
  3. Step 3: Cross multiply
    6,214.78x = 8,576.14 × 3,382.17
  4. Step 4: Simplify right side
    6,214.78x = 29,005,903.63
  5. Step 5: Solve for x
    x = 29,005,903.63/6,214.78
  6. Step 6: Final answer
    x = 4,667.25

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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.