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Finding the Fourth Proportional to 9,474.98, 14,212.46 and 3,635.69

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Solution

The fourth proportional to 9,474.98, 14,212.46 and 3,635.69 is: 5,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.98 : 14,212.46 = 3,635.69 : x
  2. Step 2: Convert to fraction form
    9,474.98/14,212.46 = 3,635.69/x
  3. Step 3: Cross multiply
    9,474.98x = 14,212.46 × 3,635.69
  4. Step 4: Simplify right side
    9,474.98x = 51,672,036.72
  5. Step 5: Solve for x
    x = 51,672,036.72/9,474.98
  6. Step 6: Final answer
    x = 5,453.53

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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.