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Finding the Fourth Proportional to 9,136.60, 13,706.96 and 2,896.98

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Solution

The fourth proportional to 9,136.60, 13,706.96 and 2,896.98 is: 4,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.60 : 13,706.96 = 2,896.98 : x
  2. Step 2: Convert to fraction form
    9,136.60/13,706.96 = 2,896.98/x
  3. Step 3: Cross multiply
    9,136.60x = 13,706.96 × 2,896.98
  4. Step 4: Simplify right side
    9,136.60x = 39,708,788.98
  5. Step 5: Solve for x
    x = 39,708,788.98/9,136.60
  6. Step 6: Final answer
    x = 4,346.12

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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.