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Finding the Fourth Proportional to 9,872.71, 14,811.49 and 6,956.71

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Solution

The fourth proportional to 9,872.71, 14,811.49 and 6,956.71 is: 10,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.71 : 14,811.49 = 6,956.71 : x
  2. Step 2: Convert to fraction form
    9,872.71/14,811.49 = 6,956.71/x
  3. Step 3: Cross multiply
    9,872.71x = 14,811.49 × 6,956.71
  4. Step 4: Simplify right side
    9,872.71x = 103,039,240.60
  5. Step 5: Solve for x
    x = 103,039,240.60/9,872.71
  6. Step 6: Final answer
    x = 10,436.77

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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.