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Finding the Fourth Proportional to 6,418.17, 9,580.82 and 5,546.27

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Solution

The fourth proportional to 6,418.17, 9,580.82 and 5,546.27 is: 8,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.17 : 9,580.82 = 5,546.27 : x
  2. Step 2: Convert to fraction form
    6,418.17/9,580.82 = 5,546.27/x
  3. Step 3: Cross multiply
    6,418.17x = 9,580.82 × 5,546.27
  4. Step 4: Simplify right side
    6,418.17x = 53,137,738.91
  5. Step 5: Solve for x
    x = 53,137,738.91/6,418.17
  6. Step 6: Final answer
    x = 8,279.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.