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Finding the Fourth Proportional to 8,449.63, 12,674.44 and 2,293.63

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Solution

The fourth proportional to 8,449.63, 12,674.44 and 2,293.63 is: 3,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.63 : 12,674.44 = 2,293.63 : x
  2. Step 2: Convert to fraction form
    8,449.63/12,674.44 = 2,293.63/x
  3. Step 3: Cross multiply
    8,449.63x = 12,674.44 × 2,293.63
  4. Step 4: Simplify right side
    8,449.63x = 29,070,406.71
  5. Step 5: Solve for x
    x = 29,070,406.71/8,449.63
  6. Step 6: Final answer
    x = 3,440.44

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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.