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Finding the Fourth Proportional to 12,140.93, 18,197.73 and 6,201.20

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Solution

The fourth proportional to 12,140.93, 18,197.73 and 6,201.20 is: 9,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.93 : 18,197.73 = 6,201.20 : x
  2. Step 2: Convert to fraction form
    12,140.93/18,197.73 = 6,201.20/x
  3. Step 3: Cross multiply
    12,140.93x = 18,197.73 × 6,201.20
  4. Step 4: Simplify right side
    12,140.93x = 112,847,732.27
  5. Step 5: Solve for x
    x = 112,847,732.27/12,140.93
  6. Step 6: Final answer
    x = 9,294.82

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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.