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Finding the Fourth Proportional to 8,863.42, 13,294.10 and 2,289.09

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Solution

The fourth proportional to 8,863.42, 13,294.10 and 2,289.09 is: 3,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.42 : 13,294.10 = 2,289.09 : x
  2. Step 2: Convert to fraction form
    8,863.42/13,294.10 = 2,289.09/x
  3. Step 3: Cross multiply
    8,863.42x = 13,294.10 × 2,289.09
  4. Step 4: Simplify right side
    8,863.42x = 30,431,313.45
  5. Step 5: Solve for x
    x = 30,431,313.45/8,863.42
  6. Step 6: Final answer
    x = 3,433.36

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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.