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Finding the Fourth Proportional to 6,706.83, 9,253.38 and 3,873.87

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Solution

The fourth proportional to 6,706.83, 9,253.38 and 3,873.87 is: 5,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.83 : 9,253.38 = 3,873.87 : x
  2. Step 2: Convert to fraction form
    6,706.83/9,253.38 = 3,873.87/x
  3. Step 3: Cross multiply
    6,706.83x = 9,253.38 × 3,873.87
  4. Step 4: Simplify right side
    6,706.83x = 35,846,391.18
  5. Step 5: Solve for x
    x = 35,846,391.18/6,706.83
  6. Step 6: Final answer
    x = 5,344.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.