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Finding the Fourth Proportional to 9,974, 14,923.38 and 5,956.49

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Solution

The fourth proportional to 9,974, 14,923.38 and 5,956.49 is: 8,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974 : 14,923.38 = 5,956.49 : x
  2. Step 2: Convert to fraction form
    9,974/14,923.38 = 5,956.49/x
  3. Step 3: Cross multiply
    9,974x = 14,923.38 × 5,956.49
  4. Step 4: Simplify right side
    9,974x = 88,890,963.74
  5. Step 5: Solve for x
    x = 88,890,963.74/9,974
  6. Step 6: Final answer
    x = 8,912.27

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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.