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Finding the Fourth Proportional to 6,845.64, 9,442.28 and 4,194.38

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Solution

The fourth proportional to 6,845.64, 9,442.28 and 4,194.38 is: 5,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.64 : 9,442.28 = 4,194.38 : x
  2. Step 2: Convert to fraction form
    6,845.64/9,442.28 = 4,194.38/x
  3. Step 3: Cross multiply
    6,845.64x = 9,442.28 × 4,194.38
  4. Step 4: Simplify right side
    6,845.64x = 39,604,473.66
  5. Step 5: Solve for x
    x = 39,604,473.66/6,845.64
  6. Step 6: Final answer
    x = 5,785.36

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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.