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Finding the Fourth Proportional to 9,297.97, 12,826.69 and 6,156.79

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Solution

The fourth proportional to 9,297.97, 12,826.69 and 6,156.79 is: 8,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.97 : 12,826.69 = 6,156.79 : x
  2. Step 2: Convert to fraction form
    9,297.97/12,826.69 = 6,156.79/x
  3. Step 3: Cross multiply
    9,297.97x = 12,826.69 × 6,156.79
  4. Step 4: Simplify right side
    9,297.97x = 78,971,236.73
  5. Step 5: Solve for x
    x = 78,971,236.73/9,297.97
  6. Step 6: Final answer
    x = 8,493.38

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Why These Related Problems?

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