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Finding the Fourth Proportional to 9,737.68, 14,606 and 2,717.68

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Solution

The fourth proportional to 9,737.68, 14,606 and 2,717.68 is: 4,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.68 : 14,606 = 2,717.68 : x
  2. Step 2: Convert to fraction form
    9,737.68/14,606 = 2,717.68/x
  3. Step 3: Cross multiply
    9,737.68x = 14,606 × 2,717.68
  4. Step 4: Simplify right side
    9,737.68x = 39,694,434.08
  5. Step 5: Solve for x
    x = 39,694,434.08/9,737.68
  6. Step 6: Final answer
    x = 4,076.37

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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.