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Finding the Fourth Proportional to 9,877, 14,813.68 and 2,855.27

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Solution

The fourth proportional to 9,877, 14,813.68 and 2,855.27 is: 4,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 14,813.68 = 2,855.27 : x
  2. Step 2: Convert to fraction form
    9,877/14,813.68 = 2,855.27/x
  3. Step 3: Cross multiply
    9,877x = 14,813.68 × 2,855.27
  4. Step 4: Simplify right side
    9,877x = 42,297,056.09
  5. Step 5: Solve for x
    x = 42,297,056.09/9,877
  6. Step 6: Final answer
    x = 4,282.38

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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.