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Finding the Fourth Proportional to 6,151.96, 9,227.69 and 1,992.13

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Solution

The fourth proportional to 6,151.96, 9,227.69 and 1,992.13 is: 2,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.96 : 9,227.69 = 1,992.13 : x
  2. Step 2: Convert to fraction form
    6,151.96/9,227.69 = 1,992.13/x
  3. Step 3: Cross multiply
    6,151.96x = 9,227.69 × 1,992.13
  4. Step 4: Simplify right side
    6,151.96x = 18,382,798.55
  5. Step 5: Solve for x
    x = 18,382,798.55/6,151.96
  6. Step 6: Final answer
    x = 2,988.12

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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.