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Finding the Fourth Proportional to 9,956.67, 14,944.23 and 5,029.77

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Solution

The fourth proportional to 9,956.67, 14,944.23 and 5,029.77 is: 7,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.67 : 14,944.23 = 5,029.77 : x
  2. Step 2: Convert to fraction form
    9,956.67/14,944.23 = 5,029.77/x
  3. Step 3: Cross multiply
    9,956.67x = 14,944.23 × 5,029.77
  4. Step 4: Simplify right side
    9,956.67x = 75,166,039.73
  5. Step 5: Solve for x
    x = 75,166,039.73/9,956.67
  6. Step 6: Final answer
    x = 7,549.32

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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.