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Finding the Fourth Proportional to 6,362.64, 9,543.29 and 3,896.19

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Solution

The fourth proportional to 6,362.64, 9,543.29 and 3,896.19 is: 5,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.64 : 9,543.29 = 3,896.19 : x
  2. Step 2: Convert to fraction form
    6,362.64/9,543.29 = 3,896.19/x
  3. Step 3: Cross multiply
    6,362.64x = 9,543.29 × 3,896.19
  4. Step 4: Simplify right side
    6,362.64x = 37,182,451.58
  5. Step 5: Solve for x
    x = 37,182,451.58/6,362.64
  6. Step 6: Final answer
    x = 5,843.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.