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Finding the Fourth Proportional to 6,322, 9,471.12 and 5,844.64

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Solution

The fourth proportional to 6,322, 9,471.12 and 5,844.64 is: 8,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 9,471.12 = 5,844.64 : x
  2. Step 2: Convert to fraction form
    6,322/9,471.12 = 5,844.64/x
  3. Step 3: Cross multiply
    6,322x = 9,471.12 × 5,844.64
  4. Step 4: Simplify right side
    6,322x = 55,355,286.80
  5. Step 5: Solve for x
    x = 55,355,286.80/6,322
  6. Step 6: Final answer
    x = 8,755.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.