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Finding the Fourth Proportional to 9,546.38, 13,178.49 and 6,364.97

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Solution

The fourth proportional to 9,546.38, 13,178.49 and 6,364.97 is: 8,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.38 : 13,178.49 = 6,364.97 : x
  2. Step 2: Convert to fraction form
    9,546.38/13,178.49 = 6,364.97/x
  3. Step 3: Cross multiply
    9,546.38x = 13,178.49 × 6,364.97
  4. Step 4: Simplify right side
    9,546.38x = 83,880,693.50
  5. Step 5: Solve for x
    x = 83,880,693.50/9,546.38
  6. Step 6: Final answer
    x = 8,786.65

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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.