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Finding the Fourth Proportional to 6,151.38, 9,219.86 and 2,857.54

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Solution

The fourth proportional to 6,151.38, 9,219.86 and 2,857.54 is: 4,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.38 : 9,219.86 = 2,857.54 : x
  2. Step 2: Convert to fraction form
    6,151.38/9,219.86 = 2,857.54/x
  3. Step 3: Cross multiply
    6,151.38x = 9,219.86 × 2,857.54
  4. Step 4: Simplify right side
    6,151.38x = 26,346,118.74
  5. Step 5: Solve for x
    x = 26,346,118.74/6,151.38
  6. Step 6: Final answer
    x = 4,282.96

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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.