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Finding the Fourth Proportional to 9,437.57, 14,136.21 and 7,191.44

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Solution

The fourth proportional to 9,437.57, 14,136.21 and 7,191.44 is: 10,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.57 : 14,136.21 = 7,191.44 : x
  2. Step 2: Convert to fraction form
    9,437.57/14,136.21 = 7,191.44/x
  3. Step 3: Cross multiply
    9,437.57x = 14,136.21 × 7,191.44
  4. Step 4: Simplify right side
    9,437.57x = 101,659,706.04
  5. Step 5: Solve for x
    x = 101,659,706.04/9,437.57
  6. Step 6: Final answer
    x = 10,771.81

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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.