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Finding the Fourth Proportional to 6,841.55, 9,442.71 and 3,857.44

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Solution

The fourth proportional to 6,841.55, 9,442.71 and 3,857.44 is: 5,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.55 : 9,442.71 = 3,857.44 : x
  2. Step 2: Convert to fraction form
    6,841.55/9,442.71 = 3,857.44/x
  3. Step 3: Cross multiply
    6,841.55x = 9,442.71 × 3,857.44
  4. Step 4: Simplify right side
    6,841.55x = 36,424,681.36
  5. Step 5: Solve for x
    x = 36,424,681.36/6,841.55
  6. Step 6: Final answer
    x = 5,324.04

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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.