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Finding the Fourth Proportional to 9,126.23, 12,593.93 and 5,147.37

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Solution

The fourth proportional to 9,126.23, 12,593.93 and 5,147.37 is: 7,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.23 : 12,593.93 = 5,147.37 : x
  2. Step 2: Convert to fraction form
    9,126.23/12,593.93 = 5,147.37/x
  3. Step 3: Cross multiply
    9,126.23x = 12,593.93 × 5,147.37
  4. Step 4: Simplify right side
    9,126.23x = 64,825,591.73
  5. Step 5: Solve for x
    x = 64,825,591.73/9,126.23
  6. Step 6: Final answer
    x = 7,103.22

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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.