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Finding the Fourth Proportional to 10,097.36, 15,136.66 and 9,266.84

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Solution

The fourth proportional to 10,097.36, 15,136.66 and 9,266.84 is: 13,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.36 : 15,136.66 = 9,266.84 : x
  2. Step 2: Convert to fraction form
    10,097.36/15,136.66 = 9,266.84/x
  3. Step 3: Cross multiply
    10,097.36x = 15,136.66 × 9,266.84
  4. Step 4: Simplify right side
    10,097.36x = 140,269,006.35
  5. Step 5: Solve for x
    x = 140,269,006.35/10,097.36
  6. Step 6: Final answer
    x = 13,891.65

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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.