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Finding the Fourth Proportional to 6,151.30, 9,224.70 and 1,992.40

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Solution

The fourth proportional to 6,151.30, 9,224.70 and 1,992.40 is: 2,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.30 : 9,224.70 = 1,992.40 : x
  2. Step 2: Convert to fraction form
    6,151.30/9,224.70 = 1,992.40/x
  3. Step 3: Cross multiply
    6,151.30x = 9,224.70 × 1,992.40
  4. Step 4: Simplify right side
    6,151.30x = 18,379,292.28
  5. Step 5: Solve for x
    x = 18,379,292.28/6,151.30
  6. Step 6: Final answer
    x = 2,987.87

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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.