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Finding the Fourth Proportional to 6,529.36, 9,794.50 and 3,239.14

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Solution

The fourth proportional to 6,529.36, 9,794.50 and 3,239.14 is: 4,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.36 : 9,794.50 = 3,239.14 : x
  2. Step 2: Convert to fraction form
    6,529.36/9,794.50 = 3,239.14/x
  3. Step 3: Cross multiply
    6,529.36x = 9,794.50 × 3,239.14
  4. Step 4: Simplify right side
    6,529.36x = 31,725,756.73
  5. Step 5: Solve for x
    x = 31,725,756.73/6,529.36
  6. Step 6: Final answer
    x = 4,858.94

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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.