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Finding the Fourth Proportional to 9,136.70, 13,693.96 and 3,869.68

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Solution

The fourth proportional to 9,136.70, 13,693.96 and 3,869.68 is: 5,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.70 : 13,693.96 = 3,869.68 : x
  2. Step 2: Convert to fraction form
    9,136.70/13,693.96 = 3,869.68/x
  3. Step 3: Cross multiply
    9,136.70x = 13,693.96 × 3,869.68
  4. Step 4: Simplify right side
    9,136.70x = 52,991,243.13
  5. Step 5: Solve for x
    x = 52,991,243.13/9,136.70
  6. Step 6: Final answer
    x = 5,799.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.