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Finding the Fourth Proportional to 6,381.69, 9,560.06 and 4,183.71

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Solution

The fourth proportional to 6,381.69, 9,560.06 and 4,183.71 is: 6,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.69 : 9,560.06 = 4,183.71 : x
  2. Step 2: Convert to fraction form
    6,381.69/9,560.06 = 4,183.71/x
  3. Step 3: Cross multiply
    6,381.69x = 9,560.06 × 4,183.71
  4. Step 4: Simplify right side
    6,381.69x = 39,996,497.70
  5. Step 5: Solve for x
    x = 39,996,497.70/6,381.69
  6. Step 6: Final answer
    x = 6,267.38

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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.