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Finding the Fourth Proportional to 9,136.60, 13,704.90 and 5,183.80

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Solution

The fourth proportional to 9,136.60, 13,704.90 and 5,183.80 is: 7,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.60 : 13,704.90 = 5,183.80 : x
  2. Step 2: Convert to fraction form
    9,136.60/13,704.90 = 5,183.80/x
  3. Step 3: Cross multiply
    9,136.60x = 13,704.90 × 5,183.80
  4. Step 4: Simplify right side
    9,136.60x = 71,043,460.62
  5. Step 5: Solve for x
    x = 71,043,460.62/9,136.60
  6. Step 6: Final answer
    x = 7,775.70

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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.