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Finding the Fourth Proportional to 8,797.32, 13,181.94 and 6,446.43

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Solution

The fourth proportional to 8,797.32, 13,181.94 and 6,446.43 is: 9,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.32 : 13,181.94 = 6,446.43 : x
  2. Step 2: Convert to fraction form
    8,797.32/13,181.94 = 6,446.43/x
  3. Step 3: Cross multiply
    8,797.32x = 13,181.94 × 6,446.43
  4. Step 4: Simplify right side
    8,797.32x = 84,976,453.47
  5. Step 5: Solve for x
    x = 84,976,453.47/8,797.32
  6. Step 6: Final answer
    x = 9,659.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.