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Finding the Fourth Proportional to 6,282.66, 9,426.87 and 3,206.82

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Solution

The fourth proportional to 6,282.66, 9,426.87 and 3,206.82 is: 4,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.66 : 9,426.87 = 3,206.82 : x
  2. Step 2: Convert to fraction form
    6,282.66/9,426.87 = 3,206.82/x
  3. Step 3: Cross multiply
    6,282.66x = 9,426.87 × 3,206.82
  4. Step 4: Simplify right side
    6,282.66x = 30,230,275.25
  5. Step 5: Solve for x
    x = 30,230,275.25/6,282.66
  6. Step 6: Final answer
    x = 4,811.70

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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.