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Finding the Fourth Proportional to 6,857.06, 9,463.64 and 3,873.83

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Solution

The fourth proportional to 6,857.06, 9,463.64 and 3,873.83 is: 5,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.06 : 9,463.64 = 3,873.83 : x
  2. Step 2: Convert to fraction form
    6,857.06/9,463.64 = 3,873.83/x
  3. Step 3: Cross multiply
    6,857.06x = 9,463.64 × 3,873.83
  4. Step 4: Simplify right side
    6,857.06x = 36,660,465.85
  5. Step 5: Solve for x
    x = 36,660,465.85/6,857.06
  6. Step 6: Final answer
    x = 5,346.39

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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.