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Finding the Fourth Proportional to 6,216.84, 9,325.34 and 2,469.54

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Solution

The fourth proportional to 6,216.84, 9,325.34 and 2,469.54 is: 3,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.84 : 9,325.34 = 2,469.54 : x
  2. Step 2: Convert to fraction form
    6,216.84/9,325.34 = 2,469.54/x
  3. Step 3: Cross multiply
    6,216.84x = 9,325.34 × 2,469.54
  4. Step 4: Simplify right side
    6,216.84x = 23,029,300.14
  5. Step 5: Solve for x
    x = 23,029,300.14/6,216.84
  6. Step 6: Final answer
    x = 3,704.34

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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.