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Finding the Fourth Proportional to 6,408.53, 9,608.16 and 3,938.24

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Solution

The fourth proportional to 6,408.53, 9,608.16 and 3,938.24 is: 5,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.53 : 9,608.16 = 3,938.24 : x
  2. Step 2: Convert to fraction form
    6,408.53/9,608.16 = 3,938.24/x
  3. Step 3: Cross multiply
    6,408.53x = 9,608.16 × 3,938.24
  4. Step 4: Simplify right side
    6,408.53x = 37,839,192.00
  5. Step 5: Solve for x
    x = 37,839,192.00/6,408.53
  6. Step 6: Final answer
    x = 5,904.51

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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.