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Finding the Fourth Proportional to 6,163.63, 9,233.27 and 4,077.32

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Solution

The fourth proportional to 6,163.63, 9,233.27 and 4,077.32 is: 6,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.63 : 9,233.27 = 4,077.32 : x
  2. Step 2: Convert to fraction form
    6,163.63/9,233.27 = 4,077.32/x
  3. Step 3: Cross multiply
    6,163.63x = 9,233.27 × 4,077.32
  4. Step 4: Simplify right side
    6,163.63x = 37,646,996.44
  5. Step 5: Solve for x
    x = 37,646,996.44/6,163.63
  6. Step 6: Final answer
    x = 6,107.93

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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.