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Finding the Fourth Proportional to 9,136.48, 13,703.28 and 3,940.96

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Solution

The fourth proportional to 9,136.48, 13,703.28 and 3,940.96 is: 5,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.48 : 13,703.28 = 3,940.96 : x
  2. Step 2: Convert to fraction form
    9,136.48/13,703.28 = 3,940.96/x
  3. Step 3: Cross multiply
    9,136.48x = 13,703.28 × 3,940.96
  4. Step 4: Simplify right side
    9,136.48x = 54,004,078.35
  5. Step 5: Solve for x
    x = 54,004,078.35/9,136.48
  6. Step 6: Final answer
    x = 5,910.82

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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.