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Finding the Fourth Proportional to 8,305.20, 12,465.09 and 6,227.55

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Solution

The fourth proportional to 8,305.20, 12,465.09 and 6,227.55 is: 9,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.20 : 12,465.09 = 6,227.55 : x
  2. Step 2: Convert to fraction form
    8,305.20/12,465.09 = 6,227.55/x
  3. Step 3: Cross multiply
    8,305.20x = 12,465.09 × 6,227.55
  4. Step 4: Simplify right side
    8,305.20x = 77,626,971.23
  5. Step 5: Solve for x
    x = 77,626,971.23/8,305.20
  6. Step 6: Final answer
    x = 9,346.79

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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.