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Finding the Fourth Proportional to 6,489.20, 9,722.28 and 4,427.12

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Solution

The fourth proportional to 6,489.20, 9,722.28 and 4,427.12 is: 6,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.20 : 9,722.28 = 4,427.12 : x
  2. Step 2: Convert to fraction form
    6,489.20/9,722.28 = 4,427.12/x
  3. Step 3: Cross multiply
    6,489.20x = 9,722.28 × 4,427.12
  4. Step 4: Simplify right side
    6,489.20x = 43,041,700.23
  5. Step 5: Solve for x
    x = 43,041,700.23/6,489.20
  6. Step 6: Final answer
    x = 6,632.82

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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.