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Finding the Fourth Proportional to 6,130.53, 9,197.07 and 2,234.97

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Solution

The fourth proportional to 6,130.53, 9,197.07 and 2,234.97 is: 3,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.53 : 9,197.07 = 2,234.97 : x
  2. Step 2: Convert to fraction form
    6,130.53/9,197.07 = 2,234.97/x
  3. Step 3: Cross multiply
    6,130.53x = 9,197.07 × 2,234.97
  4. Step 4: Simplify right side
    6,130.53x = 20,555,175.54
  5. Step 5: Solve for x
    x = 20,555,175.54/6,130.53
  6. Step 6: Final answer
    x = 3,352.92

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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.