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Finding the Fourth Proportional to 6,473.27, 8,934.56 and 4,231.29

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Solution

The fourth proportional to 6,473.27, 8,934.56 and 4,231.29 is: 5,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.27 : 8,934.56 = 4,231.29 : x
  2. Step 2: Convert to fraction form
    6,473.27/8,934.56 = 4,231.29/x
  3. Step 3: Cross multiply
    6,473.27x = 8,934.56 × 4,231.29
  4. Step 4: Simplify right side
    6,473.27x = 37,804,714.38
  5. Step 5: Solve for x
    x = 37,804,714.38/6,473.27
  6. Step 6: Final answer
    x = 5,840.13

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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.