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Finding the Fourth Proportional to 9,651.44, 14,478.84 and 3,494

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Solution

The fourth proportional to 9,651.44, 14,478.84 and 3,494 is: 5,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.44 : 14,478.84 = 3,494 : x
  2. Step 2: Convert to fraction form
    9,651.44/14,478.84 = 3,494/x
  3. Step 3: Cross multiply
    9,651.44x = 14,478.84 × 3,494
  4. Step 4: Simplify right side
    9,651.44x = 50,589,066.96
  5. Step 5: Solve for x
    x = 50,589,066.96/9,651.44
  6. Step 6: Final answer
    x = 5,241.61

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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.