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Finding the Fourth Proportional to 6,806.19, 9,394.16 and 4,155.84

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Solution

The fourth proportional to 6,806.19, 9,394.16 and 4,155.84 is: 5,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.19 : 9,394.16 = 4,155.84 : x
  2. Step 2: Convert to fraction form
    6,806.19/9,394.16 = 4,155.84/x
  3. Step 3: Cross multiply
    6,806.19x = 9,394.16 × 4,155.84
  4. Step 4: Simplify right side
    6,806.19x = 39,040,578.92
  5. Step 5: Solve for x
    x = 39,040,578.92/6,806.19
  6. Step 6: Final answer
    x = 5,736.04

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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.