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Finding the Fourth Proportional to 9,446.10, 14,135.55 and 8,226.90

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Solution

The fourth proportional to 9,446.10, 14,135.55 and 8,226.90 is: 12,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.10 : 14,135.55 = 8,226.90 : x
  2. Step 2: Convert to fraction form
    9,446.10/14,135.55 = 8,226.90/x
  3. Step 3: Cross multiply
    9,446.10x = 14,135.55 × 8,226.90
  4. Step 4: Simplify right side
    9,446.10x = 116,291,756.30
  5. Step 5: Solve for x
    x = 116,291,756.30/9,446.10
  6. Step 6: Final answer
    x = 12,311.09

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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.