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Finding the Fourth Proportional to 6,920.33, 10,384.14 and 3,221.60

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Solution

The fourth proportional to 6,920.33, 10,384.14 and 3,221.60 is: 4,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.33 : 10,384.14 = 3,221.60 : x
  2. Step 2: Convert to fraction form
    6,920.33/10,384.14 = 3,221.60/x
  3. Step 3: Cross multiply
    6,920.33x = 10,384.14 × 3,221.60
  4. Step 4: Simplify right side
    6,920.33x = 33,453,545.42
  5. Step 5: Solve for x
    x = 33,453,545.42/6,920.33
  6. Step 6: Final answer
    x = 4,834.10

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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.