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Finding the Fourth Proportional to 7,033.38, 9,706.26 and 3,889.77

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Solution

The fourth proportional to 7,033.38, 9,706.26 and 3,889.77 is: 5,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.38 : 9,706.26 = 3,889.77 : x
  2. Step 2: Convert to fraction form
    7,033.38/9,706.26 = 3,889.77/x
  3. Step 3: Cross multiply
    7,033.38x = 9,706.26 × 3,889.77
  4. Step 4: Simplify right side
    7,033.38x = 37,755,118.96
  5. Step 5: Solve for x
    x = 37,755,118.96/7,033.38
  6. Step 6: Final answer
    x = 5,367.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.