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Finding the Fourth Proportional to 8,446.14, 12,669.18 and 2,290.14

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Solution

The fourth proportional to 8,446.14, 12,669.18 and 2,290.14 is: 3,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.14 : 12,669.18 = 2,290.14 : x
  2. Step 2: Convert to fraction form
    8,446.14/12,669.18 = 2,290.14/x
  3. Step 3: Cross multiply
    8,446.14x = 12,669.18 × 2,290.14
  4. Step 4: Simplify right side
    8,446.14x = 29,014,195.89
  5. Step 5: Solve for x
    x = 29,014,195.89/8,446.14
  6. Step 6: Final answer
    x = 3,435.20

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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.