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Finding the Fourth Proportional to 6,369.20, 9,539.95 and 3,896.54

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Solution

The fourth proportional to 6,369.20, 9,539.95 and 3,896.54 is: 5,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.20 : 9,539.95 = 3,896.54 : x
  2. Step 2: Convert to fraction form
    6,369.20/9,539.95 = 3,896.54/x
  3. Step 3: Cross multiply
    6,369.20x = 9,539.95 × 3,896.54
  4. Step 4: Simplify right side
    6,369.20x = 37,172,796.77
  5. Step 5: Solve for x
    x = 37,172,796.77/6,369.20
  6. Step 6: Final answer
    x = 5,836.34

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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.