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Finding the Fourth Proportional to 6,828.67, 9,423.74 and 3,844.61

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Solution

The fourth proportional to 6,828.67, 9,423.74 and 3,844.61 is: 5,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.67 : 9,423.74 = 3,844.61 : x
  2. Step 2: Convert to fraction form
    6,828.67/9,423.74 = 3,844.61/x
  3. Step 3: Cross multiply
    6,828.67x = 9,423.74 × 3,844.61
  4. Step 4: Simplify right side
    6,828.67x = 36,230,609.38
  5. Step 5: Solve for x
    x = 36,230,609.38/6,828.67
  6. Step 6: Final answer
    x = 5,305.66

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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.