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Finding the Fourth Proportional to 6,310.90, 9,456.63 and 2,612.44

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Solution

The fourth proportional to 6,310.90, 9,456.63 and 2,612.44 is: 3,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.90 : 9,456.63 = 2,612.44 : x
  2. Step 2: Convert to fraction form
    6,310.90/9,456.63 = 2,612.44/x
  3. Step 3: Cross multiply
    6,310.90x = 9,456.63 × 2,612.44
  4. Step 4: Simplify right side
    6,310.90x = 24,704,878.48
  5. Step 5: Solve for x
    x = 24,704,878.48/6,310.90
  6. Step 6: Final answer
    x = 3,914.64

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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.