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Finding the Fourth Proportional to 6,077.27, 9,114.53 and 3,968.23

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Solution

The fourth proportional to 6,077.27, 9,114.53 and 3,968.23 is: 5,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.27 : 9,114.53 = 3,968.23 : x
  2. Step 2: Convert to fraction form
    6,077.27/9,114.53 = 3,968.23/x
  3. Step 3: Cross multiply
    6,077.27x = 9,114.53 × 3,968.23
  4. Step 4: Simplify right side
    6,077.27x = 36,168,485.97
  5. Step 5: Solve for x
    x = 36,168,485.97/6,077.27
  6. Step 6: Final answer
    x = 5,951.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.