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Finding the Fourth Proportional to 8,661.09, 12,994.20 and 3,114.30

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Solution

The fourth proportional to 8,661.09, 12,994.20 and 3,114.30 is: 4,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.09 : 12,994.20 = 3,114.30 : x
  2. Step 2: Convert to fraction form
    8,661.09/12,994.20 = 3,114.30/x
  3. Step 3: Cross multiply
    8,661.09x = 12,994.20 × 3,114.30
  4. Step 4: Simplify right side
    8,661.09x = 40,467,837.06
  5. Step 5: Solve for x
    x = 40,467,837.06/8,661.09
  6. Step 6: Final answer
    x = 4,672.37

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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.