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Finding the Fourth Proportional to 9,877, 14,817.84 and 2,951.68

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Solution

The fourth proportional to 9,877, 14,817.84 and 2,951.68 is: 4,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 14,817.84 = 2,951.68 : x
  2. Step 2: Convert to fraction form
    9,877/14,817.84 = 2,951.68/x
  3. Step 3: Cross multiply
    9,877x = 14,817.84 × 2,951.68
  4. Step 4: Simplify right side
    9,877x = 43,737,521.97
  5. Step 5: Solve for x
    x = 43,737,521.97/9,877
  6. Step 6: Final answer
    x = 4,428.22

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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.