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Finding the Fourth Proportional to 9,136.40, 13,706.64 and 3,293

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Solution

The fourth proportional to 9,136.40, 13,706.64 and 3,293 is: 4,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.40 : 13,706.64 = 3,293 : x
  2. Step 2: Convert to fraction form
    9,136.40/13,706.64 = 3,293/x
  3. Step 3: Cross multiply
    9,136.40x = 13,706.64 × 3,293
  4. Step 4: Simplify right side
    9,136.40x = 45,135,965.52
  5. Step 5: Solve for x
    x = 45,135,965.52/9,136.40
  6. Step 6: Final answer
    x = 4,940.24

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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.