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Finding the Fourth Proportional to 6,418.64, 9,627.82 and 2,719

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Solution

The fourth proportional to 6,418.64, 9,627.82 and 2,719 is: 4,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.64 : 9,627.82 = 2,719 : x
  2. Step 2: Convert to fraction form
    6,418.64/9,627.82 = 2,719/x
  3. Step 3: Cross multiply
    6,418.64x = 9,627.82 × 2,719
  4. Step 4: Simplify right side
    6,418.64x = 26,178,042.58
  5. Step 5: Solve for x
    x = 26,178,042.58/6,418.64
  6. Step 6: Final answer
    x = 4,078.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.