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Finding the Fourth Proportional to 6,553.27, 9,825.87 and 3,217.28

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Solution

The fourth proportional to 6,553.27, 9,825.87 and 3,217.28 is: 4,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.27 : 9,825.87 = 3,217.28 : x
  2. Step 2: Convert to fraction form
    6,553.27/9,825.87 = 3,217.28/x
  3. Step 3: Cross multiply
    6,553.27x = 9,825.87 × 3,217.28
  4. Step 4: Simplify right side
    6,553.27x = 31,612,525.90
  5. Step 5: Solve for x
    x = 31,612,525.90/6,553.27
  6. Step 6: Final answer
    x = 4,823.94

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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.