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Finding the Fourth Proportional to 6,431.40, 9,647.24 and 2,732.94

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Solution

The fourth proportional to 6,431.40, 9,647.24 and 2,732.94 is: 4,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.40 : 9,647.24 = 2,732.94 : x
  2. Step 2: Convert to fraction form
    6,431.40/9,647.24 = 2,732.94/x
  3. Step 3: Cross multiply
    6,431.40x = 9,647.24 × 2,732.94
  4. Step 4: Simplify right side
    6,431.40x = 26,365,314.42
  5. Step 5: Solve for x
    x = 26,365,314.42/6,431.40
  6. Step 6: Final answer
    x = 4,099.47

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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.