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Finding the Fourth Proportional to 6,214.64, 8,576.20 and 3,420.12

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Solution

The fourth proportional to 6,214.64, 8,576.20 and 3,420.12 is: 4,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.64 : 8,576.20 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    6,214.64/8,576.20 = 3,420.12/x
  3. Step 3: Cross multiply
    6,214.64x = 8,576.20 × 3,420.12
  4. Step 4: Simplify right side
    6,214.64x = 29,331,633.14
  5. Step 5: Solve for x
    x = 29,331,633.14/6,214.64
  6. Step 6: Final answer
    x = 4,719.76

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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.