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Finding the Fourth Proportional to 6,804.97, 9,388.51 and 3,820.39

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Solution

The fourth proportional to 6,804.97, 9,388.51 and 3,820.39 is: 5,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.97 : 9,388.51 = 3,820.39 : x
  2. Step 2: Convert to fraction form
    6,804.97/9,388.51 = 3,820.39/x
  3. Step 3: Cross multiply
    6,804.97x = 9,388.51 × 3,820.39
  4. Step 4: Simplify right side
    6,804.97x = 35,867,769.72
  5. Step 5: Solve for x
    x = 35,867,769.72/6,804.97
  6. Step 6: Final answer
    x = 5,270.82

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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.