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Finding the Fourth Proportional to 8,742.43, 12,069.12 and 6,797.83

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Solution

The fourth proportional to 8,742.43, 12,069.12 and 6,797.83 is: 9,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.43 : 12,069.12 = 6,797.83 : x
  2. Step 2: Convert to fraction form
    8,742.43/12,069.12 = 6,797.83/x
  3. Step 3: Cross multiply
    8,742.43x = 12,069.12 × 6,797.83
  4. Step 4: Simplify right side
    8,742.43x = 82,043,731.67
  5. Step 5: Solve for x
    x = 82,043,731.67/8,742.43
  6. Step 6: Final answer
    x = 9,384.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.