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Finding the Fourth Proportional to 6,365.20, 9,545.52 and 2,204.09

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Solution

The fourth proportional to 6,365.20, 9,545.52 and 2,204.09 is: 3,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.20 : 9,545.52 = 2,204.09 : x
  2. Step 2: Convert to fraction form
    6,365.20/9,545.52 = 2,204.09/x
  3. Step 3: Cross multiply
    6,365.20x = 9,545.52 × 2,204.09
  4. Step 4: Simplify right side
    6,365.20x = 21,039,150.29
  5. Step 5: Solve for x
    x = 21,039,150.29/6,365.20
  6. Step 6: Final answer
    x = 3,305.34

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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.