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Finding the Fourth Proportional to 9,136.90, 13,704.29 and 2,563.65

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Solution

The fourth proportional to 9,136.90, 13,704.29 and 2,563.65 is: 3,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.90 : 13,704.29 = 2,563.65 : x
  2. Step 2: Convert to fraction form
    9,136.90/13,704.29 = 2,563.65/x
  3. Step 3: Cross multiply
    9,136.90x = 13,704.29 × 2,563.65
  4. Step 4: Simplify right side
    9,136.90x = 35,132,999.85
  5. Step 5: Solve for x
    x = 35,132,999.85/9,136.90
  6. Step 6: Final answer
    x = 3,845.18

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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.