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Finding the Fourth Proportional to 12,364.92, 17,057.02 and 9,375.82

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Solution

The fourth proportional to 12,364.92, 17,057.02 and 9,375.82 is: 12,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.92 : 17,057.02 = 9,375.82 : x
  2. Step 2: Convert to fraction form
    12,364.92/17,057.02 = 9,375.82/x
  3. Step 3: Cross multiply
    12,364.92x = 17,057.02 × 9,375.82
  4. Step 4: Simplify right side
    12,364.92x = 159,923,549.26
  5. Step 5: Solve for x
    x = 159,923,549.26/12,364.92
  6. Step 6: Final answer
    x = 12,933.65

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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.