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Finding the Fourth Proportional to 9,136.53, 13,704.77 and 3,585.99

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Solution

The fourth proportional to 9,136.53, 13,704.77 and 3,585.99 is: 5,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.53 : 13,704.77 = 3,585.99 : x
  2. Step 2: Convert to fraction form
    9,136.53/13,704.77 = 3,585.99/x
  3. Step 3: Cross multiply
    9,136.53x = 13,704.77 × 3,585.99
  4. Step 4: Simplify right side
    9,136.53x = 49,145,098.85
  5. Step 5: Solve for x
    x = 49,145,098.85/9,136.53
  6. Step 6: Final answer
    x = 5,378.97

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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.