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Finding the Fourth Proportional to 7,091.75, 9,785.95 and 4,107.77

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Solution

The fourth proportional to 7,091.75, 9,785.95 and 4,107.77 is: 5,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.75 : 9,785.95 = 4,107.77 : x
  2. Step 2: Convert to fraction form
    7,091.75/9,785.95 = 4,107.77/x
  3. Step 3: Cross multiply
    7,091.75x = 9,785.95 × 4,107.77
  4. Step 4: Simplify right side
    7,091.75x = 40,198,446.03
  5. Step 5: Solve for x
    x = 40,198,446.03/7,091.75
  6. Step 6: Final answer
    x = 5,668.34

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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.