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Finding the Fourth Proportional to 9,251, 12,766.38 and 5,944.76

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Solution

The fourth proportional to 9,251, 12,766.38 and 5,944.76 is: 8,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251 : 12,766.38 = 5,944.76 : x
  2. Step 2: Convert to fraction form
    9,251/12,766.38 = 5,944.76/x
  3. Step 3: Cross multiply
    9,251x = 12,766.38 × 5,944.76
  4. Step 4: Simplify right side
    9,251x = 75,893,065.17
  5. Step 5: Solve for x
    x = 75,893,065.17/9,251
  6. Step 6: Final answer
    x = 8,203.77

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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.