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Finding the Fourth Proportional to 6,922.95, 10,384.30 and 3,223.09

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Solution

The fourth proportional to 6,922.95, 10,384.30 and 3,223.09 is: 4,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.95 : 10,384.30 = 3,223.09 : x
  2. Step 2: Convert to fraction form
    6,922.95/10,384.30 = 3,223.09/x
  3. Step 3: Cross multiply
    6,922.95x = 10,384.30 × 3,223.09
  4. Step 4: Simplify right side
    6,922.95x = 33,469,533.49
  5. Step 5: Solve for x
    x = 33,469,533.49/6,922.95
  6. Step 6: Final answer
    x = 4,834.58

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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.