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Finding the Fourth Proportional to 6,593.14, 9,896.55 and 3,825.24

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Solution

The fourth proportional to 6,593.14, 9,896.55 and 3,825.24 is: 5,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.14 : 9,896.55 = 3,825.24 : x
  2. Step 2: Convert to fraction form
    6,593.14/9,896.55 = 3,825.24/x
  3. Step 3: Cross multiply
    6,593.14x = 9,896.55 × 3,825.24
  4. Step 4: Simplify right side
    6,593.14x = 37,856,678.92
  5. Step 5: Solve for x
    x = 37,856,678.92/6,593.14
  6. Step 6: Final answer
    x = 5,741.83

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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.