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Finding the Fourth Proportional to 8,689.46, 13,022.45 and 6,338.44

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Solution

The fourth proportional to 8,689.46, 13,022.45 and 6,338.44 is: 9,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.46 : 13,022.45 = 6,338.44 : x
  2. Step 2: Convert to fraction form
    8,689.46/13,022.45 = 6,338.44/x
  3. Step 3: Cross multiply
    8,689.46x = 13,022.45 × 6,338.44
  4. Step 4: Simplify right side
    8,689.46x = 82,541,988.74
  5. Step 5: Solve for x
    x = 82,541,988.74/8,689.46
  6. Step 6: Final answer
    x = 9,499.09

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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.