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Finding the Fourth Proportional to 8,206.65, 12,284.53 and 6,633.52

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Solution

The fourth proportional to 8,206.65, 12,284.53 and 6,633.52 is: 9,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.65 : 12,284.53 = 6,633.52 : x
  2. Step 2: Convert to fraction form
    8,206.65/12,284.53 = 6,633.52/x
  3. Step 3: Cross multiply
    8,206.65x = 12,284.53 × 6,633.52
  4. Step 4: Simplify right side
    8,206.65x = 81,489,628.15
  5. Step 5: Solve for x
    x = 81,489,628.15/8,206.65
  6. Step 6: Final answer
    x = 9,929.71

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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.