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Finding the Fourth Proportional to 7,200.62, 10,794.34 and 6,097.14

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Solution

The fourth proportional to 7,200.62, 10,794.34 and 6,097.14 is: 9,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.62 : 10,794.34 = 6,097.14 : x
  2. Step 2: Convert to fraction form
    7,200.62/10,794.34 = 6,097.14/x
  3. Step 3: Cross multiply
    7,200.62x = 10,794.34 × 6,097.14
  4. Step 4: Simplify right side
    7,200.62x = 65,814,517.73
  5. Step 5: Solve for x
    x = 65,814,517.73/7,200.62
  6. Step 6: Final answer
    x = 9,140.12

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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.