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Finding the Fourth Proportional to 6,213.68, 9,264.88 and 6,136.88

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Solution

The fourth proportional to 6,213.68, 9,264.88 and 6,136.88 is: 9,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.68 : 9,264.88 = 6,136.88 : x
  2. Step 2: Convert to fraction form
    6,213.68/9,264.88 = 6,136.88/x
  3. Step 3: Cross multiply
    6,213.68x = 9,264.88 × 6,136.88
  4. Step 4: Simplify right side
    6,213.68x = 56,857,456.77
  5. Step 5: Solve for x
    x = 56,857,456.77/6,213.68
  6. Step 6: Final answer
    x = 9,150.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.