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Finding the Fourth Proportional to 6,537.72, 9,023.82 and 3,743.64

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Solution

The fourth proportional to 6,537.72, 9,023.82 and 3,743.64 is: 5,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.72 : 9,023.82 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    6,537.72/9,023.82 = 3,743.64/x
  3. Step 3: Cross multiply
    6,537.72x = 9,023.82 × 3,743.64
  4. Step 4: Simplify right side
    6,537.72x = 33,781,933.50
  5. Step 5: Solve for x
    x = 33,781,933.50/6,537.72
  6. Step 6: Final answer
    x = 5,167.23

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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.