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Finding the Fourth Proportional to 9,468.33, 13,066.38 and 5,933.61

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Solution

The fourth proportional to 9,468.33, 13,066.38 and 5,933.61 is: 8,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.33 : 13,066.38 = 5,933.61 : x
  2. Step 2: Convert to fraction form
    9,468.33/13,066.38 = 5,933.61/x
  3. Step 3: Cross multiply
    9,468.33x = 13,066.38 × 5,933.61
  4. Step 4: Simplify right side
    9,468.33x = 77,530,803.03
  5. Step 5: Solve for x
    x = 77,530,803.03/9,468.33
  6. Step 6: Final answer
    x = 8,188.43

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Why These Related Problems?

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