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Finding the Fourth Proportional to 6,203.82, 9,297.63 and 5,332.26

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Solution

The fourth proportional to 6,203.82, 9,297.63 and 5,332.26 is: 7,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.82 : 9,297.63 = 5,332.26 : x
  2. Step 2: Convert to fraction form
    6,203.82/9,297.63 = 5,332.26/x
  3. Step 3: Cross multiply
    6,203.82x = 9,297.63 × 5,332.26
  4. Step 4: Simplify right side
    6,203.82x = 49,577,380.54
  5. Step 5: Solve for x
    x = 49,577,380.54/6,203.82
  6. Step 6: Final answer
    x = 7,991.43

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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.