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Finding the Fourth Proportional to 8,226.96, 12,322.80 and 6,574.56

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Solution

The fourth proportional to 8,226.96, 12,322.80 and 6,574.56 is: 9,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.96 : 12,322.80 = 6,574.56 : x
  2. Step 2: Convert to fraction form
    8,226.96/12,322.80 = 6,574.56/x
  3. Step 3: Cross multiply
    8,226.96x = 12,322.80 × 6,574.56
  4. Step 4: Simplify right side
    8,226.96x = 81,016,987.97
  5. Step 5: Solve for x
    x = 81,016,987.97/8,226.96
  6. Step 6: Final answer
    x = 9,847.74

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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.