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Finding the Fourth Proportional to 7,033.44, 9,705.76 and 3,889.56

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Solution

The fourth proportional to 7,033.44, 9,705.76 and 3,889.56 is: 5,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.44 : 9,705.76 = 3,889.56 : x
  2. Step 2: Convert to fraction form
    7,033.44/9,705.76 = 3,889.56/x
  3. Step 3: Cross multiply
    7,033.44x = 9,705.76 × 3,889.56
  4. Step 4: Simplify right side
    7,033.44x = 37,751,135.87
  5. Step 5: Solve for x
    x = 37,751,135.87/7,033.44
  6. Step 6: Final answer
    x = 5,367.38

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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.