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Finding the Fourth Proportional to 6,805.83, 9,391.51 and 3,821.09

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Solution

The fourth proportional to 6,805.83, 9,391.51 and 3,821.09 is: 5,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.83 : 9,391.51 = 3,821.09 : x
  2. Step 2: Convert to fraction form
    6,805.83/9,391.51 = 3,821.09/x
  3. Step 3: Cross multiply
    6,805.83x = 9,391.51 × 3,821.09
  4. Step 4: Simplify right side
    6,805.83x = 35,885,818.87
  5. Step 5: Solve for x
    x = 35,885,818.87/6,805.83
  6. Step 6: Final answer
    x = 5,272.81

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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.