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Finding the Fourth Proportional to 34,406.18, 51,609.34 and 9,446.57

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Solution

The fourth proportional to 34,406.18, 51,609.34 and 9,446.57 is: 14,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.18 : 51,609.34 = 9,446.57 : x
  2. Step 2: Convert to fraction form
    34,406.18/51,609.34 = 9,446.57/x
  3. Step 3: Cross multiply
    34,406.18x = 51,609.34 × 9,446.57
  4. Step 4: Simplify right side
    34,406.18x = 487,530,984.92
  5. Step 5: Solve for x
    x = 487,530,984.92/34,406.18
  6. Step 6: Final answer
    x = 14,169.87

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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.