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Finding the Fourth Proportional to 8,709.96, 13,064.94 and 2,136.09

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Solution

The fourth proportional to 8,709.96, 13,064.94 and 2,136.09 is: 3,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.96 : 13,064.94 = 2,136.09 : x
  2. Step 2: Convert to fraction form
    8,709.96/13,064.94 = 2,136.09/x
  3. Step 3: Cross multiply
    8,709.96x = 13,064.94 × 2,136.09
  4. Step 4: Simplify right side
    8,709.96x = 27,907,887.68
  5. Step 5: Solve for x
    x = 27,907,887.68/8,709.96
  6. Step 6: Final answer
    x = 3,204.14

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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.