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Finding the Fourth Proportional to 6,362.62, 9,543.32 and 3,896.17

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Solution

The fourth proportional to 6,362.62, 9,543.32 and 3,896.17 is: 5,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.62 : 9,543.32 = 3,896.17 : x
  2. Step 2: Convert to fraction form
    6,362.62/9,543.32 = 3,896.17/x
  3. Step 3: Cross multiply
    6,362.62x = 9,543.32 × 3,896.17
  4. Step 4: Simplify right side
    6,362.62x = 37,182,368.36
  5. Step 5: Solve for x
    x = 37,182,368.36/6,362.62
  6. Step 6: Final answer
    x = 5,843.88

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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.