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Finding the Fourth Proportional to 6,133.78, 8,465.27 and 3,743.27

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Solution

The fourth proportional to 6,133.78, 8,465.27 and 3,743.27 is: 5,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.78 : 8,465.27 = 3,743.27 : x
  2. Step 2: Convert to fraction form
    6,133.78/8,465.27 = 3,743.27/x
  3. Step 3: Cross multiply
    6,133.78x = 8,465.27 × 3,743.27
  4. Step 4: Simplify right side
    6,133.78x = 31,687,791.23
  5. Step 5: Solve for x
    x = 31,687,791.23/6,133.78
  6. Step 6: Final answer
    x = 5,166.11

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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.