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Finding the Fourth Proportional to 6,806.48, 9,392.27 and 3,821.63

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Solution

The fourth proportional to 6,806.48, 9,392.27 and 3,821.63 is: 5,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.48 : 9,392.27 = 3,821.63 : x
  2. Step 2: Convert to fraction form
    6,806.48/9,392.27 = 3,821.63/x
  3. Step 3: Cross multiply
    6,806.48x = 9,392.27 × 3,821.63
  4. Step 4: Simplify right side
    6,806.48x = 35,893,714.73
  5. Step 5: Solve for x
    x = 35,893,714.73/6,806.48
  6. Step 6: Final answer
    x = 5,273.47

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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.