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Finding the Fourth Proportional to 7,107.72, 9,796.38 and 5,336.22

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Solution

The fourth proportional to 7,107.72, 9,796.38 and 5,336.22 is: 7,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.72 : 9,796.38 = 5,336.22 : x
  2. Step 2: Convert to fraction form
    7,107.72/9,796.38 = 5,336.22/x
  3. Step 3: Cross multiply
    7,107.72x = 9,796.38 × 5,336.22
  4. Step 4: Simplify right side
    7,107.72x = 52,275,638.88
  5. Step 5: Solve for x
    x = 52,275,638.88/7,107.72
  6. Step 6: Final answer
    x = 7,354.77

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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.