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Finding the Fourth Proportional to 6,784.26, 9,361.56 and 3,913.30

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Solution

The fourth proportional to 6,784.26, 9,361.56 and 3,913.30 is: 5,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.26 : 9,361.56 = 3,913.30 : x
  2. Step 2: Convert to fraction form
    6,784.26/9,361.56 = 3,913.30/x
  3. Step 3: Cross multiply
    6,784.26x = 9,361.56 × 3,913.30
  4. Step 4: Simplify right side
    6,784.26x = 36,634,544.45
  5. Step 5: Solve for x
    x = 36,634,544.45/6,784.26
  6. Step 6: Final answer
    x = 5,399.94

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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.