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Finding the Fourth Proportional to 9,662.76, 14,494.02 and 2,737.26

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Solution

The fourth proportional to 9,662.76, 14,494.02 and 2,737.26 is: 4,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.76 : 14,494.02 = 2,737.26 : x
  2. Step 2: Convert to fraction form
    9,662.76/14,494.02 = 2,737.26/x
  3. Step 3: Cross multiply
    9,662.76x = 14,494.02 × 2,737.26
  4. Step 4: Simplify right side
    9,662.76x = 39,673,901.19
  5. Step 5: Solve for x
    x = 39,673,901.19/9,662.76
  6. Step 6: Final answer
    x = 4,105.86

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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.