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Finding the Fourth Proportional to 9,171.92, 13,753.74 and 2,596.54

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Solution

The fourth proportional to 9,171.92, 13,753.74 and 2,596.54 is: 3,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.92 : 13,753.74 = 2,596.54 : x
  2. Step 2: Convert to fraction form
    9,171.92/13,753.74 = 2,596.54/x
  3. Step 3: Cross multiply
    9,171.92x = 13,753.74 × 2,596.54
  4. Step 4: Simplify right side
    9,171.92x = 35,712,136.06
  5. Step 5: Solve for x
    x = 35,712,136.06/9,171.92
  6. Step 6: Final answer
    x = 3,893.64

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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.