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Finding the Fourth Proportional to 6,424.22, 9,632.08 and 3,652.20

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Solution

The fourth proportional to 6,424.22, 9,632.08 and 3,652.20 is: 5,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.22 : 9,632.08 = 3,652.20 : x
  2. Step 2: Convert to fraction form
    6,424.22/9,632.08 = 3,652.20/x
  3. Step 3: Cross multiply
    6,424.22x = 9,632.08 × 3,652.20
  4. Step 4: Simplify right side
    6,424.22x = 35,178,282.58
  5. Step 5: Solve for x
    x = 35,178,282.58/6,424.22
  6. Step 6: Final answer
    x = 5,475.88

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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.