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Finding the Fourth Proportional to 6,784, 9,361.80 and 3,799.80

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Solution

The fourth proportional to 6,784, 9,361.80 and 3,799.80 is: 5,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 9,361.80 = 3,799.80 : x
  2. Step 2: Convert to fraction form
    6,784/9,361.80 = 3,799.80/x
  3. Step 3: Cross multiply
    6,784x = 9,361.80 × 3,799.80
  4. Step 4: Simplify right side
    6,784x = 35,572,967.64
  5. Step 5: Solve for x
    x = 35,572,967.64/6,784
  6. Step 6: Final answer
    x = 5,243.66

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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.