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Finding the Fourth Proportional to 6,828.26, 9,423.89 and 3,844.68

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Solution

The fourth proportional to 6,828.26, 9,423.89 and 3,844.68 is: 5,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.26 : 9,423.89 = 3,844.68 : x
  2. Step 2: Convert to fraction form
    6,828.26/9,423.89 = 3,844.68/x
  3. Step 3: Cross multiply
    6,828.26x = 9,423.89 × 3,844.68
  4. Step 4: Simplify right side
    6,828.26x = 36,231,841.41
  5. Step 5: Solve for x
    x = 36,231,841.41/6,828.26
  6. Step 6: Final answer
    x = 5,306.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.