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Finding the Fourth Proportional to 9,310.35, 13,968.77 and 8,649.39

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Solution

The fourth proportional to 9,310.35, 13,968.77 and 8,649.39 is: 12,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.35 : 13,968.77 = 8,649.39 : x
  2. Step 2: Convert to fraction form
    9,310.35/13,968.77 = 8,649.39/x
  3. Step 3: Cross multiply
    9,310.35x = 13,968.77 × 8,649.39
  4. Step 4: Simplify right side
    9,310.35x = 120,821,296.30
  5. Step 5: Solve for x
    x = 120,821,296.30/9,310.35
  6. Step 6: Final answer
    x = 12,977.09

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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.