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Finding the Fourth Proportional to 9,309.38, 12,849.93 and 5,961.21

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Solution

The fourth proportional to 9,309.38, 12,849.93 and 5,961.21 is: 8,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.38 : 12,849.93 = 5,961.21 : x
  2. Step 2: Convert to fraction form
    9,309.38/12,849.93 = 5,961.21/x
  3. Step 3: Cross multiply
    9,309.38x = 12,849.93 × 5,961.21
  4. Step 4: Simplify right side
    9,309.38x = 76,601,131.22
  5. Step 5: Solve for x
    x = 76,601,131.22/9,309.38
  6. Step 6: Final answer
    x = 8,228.39

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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.