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Finding the Fourth Proportional to 9,474.53, 14,211.86 and 3,234.69

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Solution

The fourth proportional to 9,474.53, 14,211.86 and 3,234.69 is: 4,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.53 : 14,211.86 = 3,234.69 : x
  2. Step 2: Convert to fraction form
    9,474.53/14,211.86 = 3,234.69/x
  3. Step 3: Cross multiply
    9,474.53x = 14,211.86 × 3,234.69
  4. Step 4: Simplify right side
    9,474.53x = 45,970,945.25
  5. Step 5: Solve for x
    x = 45,970,945.25/9,474.53
  6. Step 6: Final answer
    x = 4,852.06

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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.