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Finding the Fourth Proportional to 6,785.10, 9,365.22 and 4,134.24

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Solution

The fourth proportional to 6,785.10, 9,365.22 and 4,134.24 is: 5,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.10 : 9,365.22 = 4,134.24 : x
  2. Step 2: Convert to fraction form
    6,785.10/9,365.22 = 4,134.24/x
  3. Step 3: Cross multiply
    6,785.10x = 9,365.22 × 4,134.24
  4. Step 4: Simplify right side
    6,785.10x = 38,718,067.13
  5. Step 5: Solve for x
    x = 38,718,067.13/6,785.10
  6. Step 6: Final answer
    x = 5,706.34

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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.