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Finding the Fourth Proportional to 9,364.38, 12,917.43 and 6,052.38

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Solution

The fourth proportional to 9,364.38, 12,917.43 and 6,052.38 is: 8,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.38 : 12,917.43 = 6,052.38 : x
  2. Step 2: Convert to fraction form
    9,364.38/12,917.43 = 6,052.38/x
  3. Step 3: Cross multiply
    9,364.38x = 12,917.43 × 6,052.38
  4. Step 4: Simplify right side
    9,364.38x = 78,181,194.98
  5. Step 5: Solve for x
    x = 78,181,194.98/9,364.38
  6. Step 6: Final answer
    x = 8,348.78

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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.