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Finding the Fourth Proportional to 6,733, 9,292.62 and 3,937.96

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Solution

The fourth proportional to 6,733, 9,292.62 and 3,937.96 is: 5,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733 : 9,292.62 = 3,937.96 : x
  2. Step 2: Convert to fraction form
    6,733/9,292.62 = 3,937.96/x
  3. Step 3: Cross multiply
    6,733x = 9,292.62 × 3,937.96
  4. Step 4: Simplify right side
    6,733x = 36,593,965.86
  5. Step 5: Solve for x
    x = 36,593,965.86/6,733
  6. Step 6: Final answer
    x = 5,435.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.