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Finding the Fourth Proportional to 8,305.25, 12,443.83 and 6,543.23

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Solution

The fourth proportional to 8,305.25, 12,443.83 and 6,543.23 is: 9,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.25 : 12,443.83 = 6,543.23 : x
  2. Step 2: Convert to fraction form
    8,305.25/12,443.83 = 6,543.23/x
  3. Step 3: Cross multiply
    8,305.25x = 12,443.83 × 6,543.23
  4. Step 4: Simplify right side
    8,305.25x = 81,422,763.19
  5. Step 5: Solve for x
    x = 81,422,763.19/8,305.25
  6. Step 6: Final answer
    x = 9,803.78

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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.