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Finding the Fourth Proportional to 6,823.70, 9,416.96 and 3,799.09

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Solution

The fourth proportional to 6,823.70, 9,416.96 and 3,799.09 is: 5,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.70 : 9,416.96 = 3,799.09 : x
  2. Step 2: Convert to fraction form
    6,823.70/9,416.96 = 3,799.09/x
  3. Step 3: Cross multiply
    6,823.70x = 9,416.96 × 3,799.09
  4. Step 4: Simplify right side
    6,823.70x = 35,775,878.57
  5. Step 5: Solve for x
    x = 35,775,878.57/6,823.70
  6. Step 6: Final answer
    x = 5,242.89

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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.