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Finding the Fourth Proportional to 9,136.99, 13,706.01 and 2,563.69

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Solution

The fourth proportional to 9,136.99, 13,706.01 and 2,563.69 is: 3,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.99 : 13,706.01 = 2,563.69 : x
  2. Step 2: Convert to fraction form
    9,136.99/13,706.01 = 2,563.69/x
  3. Step 3: Cross multiply
    9,136.99x = 13,706.01 × 2,563.69
  4. Step 4: Simplify right side
    9,136.99x = 35,137,947.96
  5. Step 5: Solve for x
    x = 35,137,947.96/9,136.99
  6. Step 6: Final answer
    x = 3,845.68

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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.