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Finding the Fourth Proportional to 6,511.31, 9,772.09 and 3,348.62

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Solution

The fourth proportional to 6,511.31, 9,772.09 and 3,348.62 is: 5,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.31 : 9,772.09 = 3,348.62 : x
  2. Step 2: Convert to fraction form
    6,511.31/9,772.09 = 3,348.62/x
  3. Step 3: Cross multiply
    6,511.31x = 9,772.09 × 3,348.62
  4. Step 4: Simplify right side
    6,511.31x = 32,723,069.23
  5. Step 5: Solve for x
    x = 32,723,069.23/6,511.31
  6. Step 6: Final answer
    x = 5,025.57

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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.