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Finding the Fourth Proportional to 6,151.30, 9,226.94 and 5,537.56

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Solution

The fourth proportional to 6,151.30, 9,226.94 and 5,537.56 is: 8,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.30 : 9,226.94 = 5,537.56 : x
  2. Step 2: Convert to fraction form
    6,151.30/9,226.94 = 5,537.56/x
  3. Step 3: Cross multiply
    6,151.30x = 9,226.94 × 5,537.56
  4. Step 4: Simplify right side
    6,151.30x = 51,094,733.87
  5. Step 5: Solve for x
    x = 51,094,733.87/6,151.30
  6. Step 6: Final answer
    x = 8,306.33

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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.