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Finding the Fourth Proportional to 6,790.43, 9,370.82 and 3,806.29

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Solution

The fourth proportional to 6,790.43, 9,370.82 and 3,806.29 is: 5,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.43 : 9,370.82 = 3,806.29 : x
  2. Step 2: Convert to fraction form
    6,790.43/9,370.82 = 3,806.29/x
  3. Step 3: Cross multiply
    6,790.43x = 9,370.82 × 3,806.29
  4. Step 4: Simplify right side
    6,790.43x = 35,668,079.69
  5. Step 5: Solve for x
    x = 35,668,079.69/6,790.43
  6. Step 6: Final answer
    x = 5,252.70

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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.