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Finding the Fourth Proportional to 6,322.28, 9,472.08 and 3,723.80

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Solution

The fourth proportional to 6,322.28, 9,472.08 and 3,723.80 is: 5,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.28 : 9,472.08 = 3,723.80 : x
  2. Step 2: Convert to fraction form
    6,322.28/9,472.08 = 3,723.80/x
  3. Step 3: Cross multiply
    6,322.28x = 9,472.08 × 3,723.80
  4. Step 4: Simplify right side
    6,322.28x = 35,272,131.50
  5. Step 5: Solve for x
    x = 35,272,131.50/6,322.28
  6. Step 6: Final answer
    x = 5,579.02

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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.