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Finding the Fourth Proportional to 6,153.70, 9,226.07 and 4,199.78

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Solution

The fourth proportional to 6,153.70, 9,226.07 and 4,199.78 is: 6,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.70 : 9,226.07 = 4,199.78 : x
  2. Step 2: Convert to fraction form
    6,153.70/9,226.07 = 4,199.78/x
  3. Step 3: Cross multiply
    6,153.70x = 9,226.07 × 4,199.78
  4. Step 4: Simplify right side
    6,153.70x = 38,747,464.26
  5. Step 5: Solve for x
    x = 38,747,464.26/6,153.70
  6. Step 6: Final answer
    x = 6,296.61

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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.