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Finding the Fourth Proportional to 6,799.70, 9,383.76 and 3,815.78

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Solution

The fourth proportional to 6,799.70, 9,383.76 and 3,815.78 is: 5,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.70 : 9,383.76 = 3,815.78 : x
  2. Step 2: Convert to fraction form
    6,799.70/9,383.76 = 3,815.78/x
  3. Step 3: Cross multiply
    6,799.70x = 9,383.76 × 3,815.78
  4. Step 4: Simplify right side
    6,799.70x = 35,806,316.81
  5. Step 5: Solve for x
    x = 35,806,316.81/6,799.70
  6. Step 6: Final answer
    x = 5,265.87

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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.