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Finding the Fourth Proportional to 6,151.83, 9,227.41 and 1,769.11

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Solution

The fourth proportional to 6,151.83, 9,227.41 and 1,769.11 is: 2,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.83 : 9,227.41 = 1,769.11 : x
  2. Step 2: Convert to fraction form
    6,151.83/9,227.41 = 1,769.11/x
  3. Step 3: Cross multiply
    6,151.83x = 9,227.41 × 1,769.11
  4. Step 4: Simplify right side
    6,151.83x = 16,324,303.31
  5. Step 5: Solve for x
    x = 16,324,303.31/6,151.83
  6. Step 6: Final answer
    x = 2,653.57

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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.