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Finding the Fourth Proportional to 6,643.32, 9,961.73 and 3,793.47

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Solution

The fourth proportional to 6,643.32, 9,961.73 and 3,793.47 is: 5,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.32 : 9,961.73 = 3,793.47 : x
  2. Step 2: Convert to fraction form
    6,643.32/9,961.73 = 3,793.47/x
  3. Step 3: Cross multiply
    6,643.32x = 9,961.73 × 3,793.47
  4. Step 4: Simplify right side
    6,643.32x = 37,789,523.90
  5. Step 5: Solve for x
    x = 37,789,523.90/6,643.32
  6. Step 6: Final answer
    x = 5,688.35

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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.