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Finding the Fourth Proportional to 6,731.33, 9,289.32 and 3,747.29

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Solution

The fourth proportional to 6,731.33, 9,289.32 and 3,747.29 is: 5,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.33 : 9,289.32 = 3,747.29 : x
  2. Step 2: Convert to fraction form
    6,731.33/9,289.32 = 3,747.29/x
  3. Step 3: Cross multiply
    6,731.33x = 9,289.32 × 3,747.29
  4. Step 4: Simplify right side
    6,731.33x = 34,809,775.94
  5. Step 5: Solve for x
    x = 34,809,775.94/6,731.33
  6. Step 6: Final answer
    x = 5,171.31

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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.