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Finding the Fourth Proportional to 8,206.28, 12,282.66 and 6,014.48

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Solution

The fourth proportional to 8,206.28, 12,282.66 and 6,014.48 is: 9,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.28 : 12,282.66 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    8,206.28/12,282.66 = 6,014.48/x
  3. Step 3: Cross multiply
    8,206.28x = 12,282.66 × 6,014.48
  4. Step 4: Simplify right side
    8,206.28x = 73,873,812.92
  5. Step 5: Solve for x
    x = 73,873,812.92/8,206.28
  6. Step 6: Final answer
    x = 9,002.11

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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.