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Finding the Fourth Proportional to 9,173.37, 12,659.40 and 5,194.38

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Solution

The fourth proportional to 9,173.37, 12,659.40 and 5,194.38 is: 7,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.37 : 12,659.40 = 5,194.38 : x
  2. Step 2: Convert to fraction form
    9,173.37/12,659.40 = 5,194.38/x
  3. Step 3: Cross multiply
    9,173.37x = 12,659.40 × 5,194.38
  4. Step 4: Simplify right side
    9,173.37x = 65,757,734.17
  5. Step 5: Solve for x
    x = 65,757,734.17/9,173.37
  6. Step 6: Final answer
    x = 7,168.33

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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.