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Finding the Fourth Proportional to 6,843.08, 9,442.34 and 3,858.52

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Solution

The fourth proportional to 6,843.08, 9,442.34 and 3,858.52 is: 5,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.08 : 9,442.34 = 3,858.52 : x
  2. Step 2: Convert to fraction form
    6,843.08/9,442.34 = 3,858.52/x
  3. Step 3: Cross multiply
    6,843.08x = 9,442.34 × 3,858.52
  4. Step 4: Simplify right side
    6,843.08x = 36,433,457.74
  5. Step 5: Solve for x
    x = 36,433,457.74/6,843.08
  6. Step 6: Final answer
    x = 5,324.13

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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.