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Finding the Fourth Proportional to 9,908.73, 14,861.88 and 5,751

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Solution

The fourth proportional to 9,908.73, 14,861.88 and 5,751 is: 8,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.73 : 14,861.88 = 5,751 : x
  2. Step 2: Convert to fraction form
    9,908.73/14,861.88 = 5,751/x
  3. Step 3: Cross multiply
    9,908.73x = 14,861.88 × 5,751
  4. Step 4: Simplify right side
    9,908.73x = 85,470,671.88
  5. Step 5: Solve for x
    x = 85,470,671.88/9,908.73
  6. Step 6: Final answer
    x = 8,625.79

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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.