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Finding the Fourth Proportional to 6,382.89, 9,576.16 and 2,683.21

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Solution

The fourth proportional to 6,382.89, 9,576.16 and 2,683.21 is: 4,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.89 : 9,576.16 = 2,683.21 : x
  2. Step 2: Convert to fraction form
    6,382.89/9,576.16 = 2,683.21/x
  3. Step 3: Cross multiply
    6,382.89x = 9,576.16 × 2,683.21
  4. Step 4: Simplify right side
    6,382.89x = 25,694,848.27
  5. Step 5: Solve for x
    x = 25,694,848.27/6,382.89
  6. Step 6: Final answer
    x = 4,025.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.