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Finding the Fourth Proportional to 9,517.11, 13,133.78 and 5,933.53

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Solution

The fourth proportional to 9,517.11, 13,133.78 and 5,933.53 is: 8,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.11 : 13,133.78 = 5,933.53 : x
  2. Step 2: Convert to fraction form
    9,517.11/13,133.78 = 5,933.53/x
  3. Step 3: Cross multiply
    9,517.11x = 13,133.78 × 5,933.53
  4. Step 4: Simplify right side
    9,517.11x = 77,929,677.64
  5. Step 5: Solve for x
    x = 77,929,677.64/9,517.11
  6. Step 6: Final answer
    x = 8,188.38

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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.