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Finding the Fourth Proportional to 8,206.94, 12,310.42 and 6,555.76

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Solution

The fourth proportional to 8,206.94, 12,310.42 and 6,555.76 is: 9,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.94 : 12,310.42 = 6,555.76 : x
  2. Step 2: Convert to fraction form
    8,206.94/12,310.42 = 6,555.76/x
  3. Step 3: Cross multiply
    8,206.94x = 12,310.42 × 6,555.76
  4. Step 4: Simplify right side
    8,206.94x = 80,704,159.02
  5. Step 5: Solve for x
    x = 80,704,159.02/8,206.94
  6. Step 6: Final answer
    x = 9,833.65

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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.