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Finding the Fourth Proportional to 6,431.67, 9,635.22 and 3,462.89

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Solution

The fourth proportional to 6,431.67, 9,635.22 and 3,462.89 is: 5,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.67 : 9,635.22 = 3,462.89 : x
  2. Step 2: Convert to fraction form
    6,431.67/9,635.22 = 3,462.89/x
  3. Step 3: Cross multiply
    6,431.67x = 9,635.22 × 3,462.89
  4. Step 4: Simplify right side
    6,431.67x = 33,365,658.81
  5. Step 5: Solve for x
    x = 33,365,658.81/6,431.67
  6. Step 6: Final answer
    x = 5,187.71

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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.