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Finding the Fourth Proportional to 6,784.06, 9,361.61 and 3,799.84

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Solution

The fourth proportional to 6,784.06, 9,361.61 and 3,799.84 is: 5,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.06 : 9,361.61 = 3,799.84 : x
  2. Step 2: Convert to fraction form
    6,784.06/9,361.61 = 3,799.84/x
  3. Step 3: Cross multiply
    6,784.06x = 9,361.61 × 3,799.84
  4. Step 4: Simplify right side
    6,784.06x = 35,572,573.33
  5. Step 5: Solve for x
    x = 35,572,573.33/6,784.06
  6. Step 6: Final answer
    x = 5,243.56

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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.