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Finding the Fourth Proportional to 6,353.42, 9,524.45 and 3,231.68

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Solution

The fourth proportional to 6,353.42, 9,524.45 and 3,231.68 is: 4,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.42 : 9,524.45 = 3,231.68 : x
  2. Step 2: Convert to fraction form
    6,353.42/9,524.45 = 3,231.68/x
  3. Step 3: Cross multiply
    6,353.42x = 9,524.45 × 3,231.68
  4. Step 4: Simplify right side
    6,353.42x = 30,779,935.03
  5. Step 5: Solve for x
    x = 30,779,935.03/6,353.42
  6. Step 6: Final answer
    x = 4,844.63

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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.