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Finding the Fourth Proportional to 9,737.44, 14,606.28 and 2,812

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Solution

The fourth proportional to 9,737.44, 14,606.28 and 2,812 is: 4,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.44 : 14,606.28 = 2,812 : x
  2. Step 2: Convert to fraction form
    9,737.44/14,606.28 = 2,812/x
  3. Step 3: Cross multiply
    9,737.44x = 14,606.28 × 2,812
  4. Step 4: Simplify right side
    9,737.44x = 41,072,859.36
  5. Step 5: Solve for x
    x = 41,072,859.36/9,737.44
  6. Step 6: Final answer
    x = 4,218.03

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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.