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Finding the Fourth Proportional to 9,462.82, 14,185.98 and 3,912.70

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Solution

The fourth proportional to 9,462.82, 14,185.98 and 3,912.70 is: 5,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.82 : 14,185.98 = 3,912.70 : x
  2. Step 2: Convert to fraction form
    9,462.82/14,185.98 = 3,912.70/x
  3. Step 3: Cross multiply
    9,462.82x = 14,185.98 × 3,912.70
  4. Step 4: Simplify right side
    9,462.82x = 55,505,483.95
  5. Step 5: Solve for x
    x = 55,505,483.95/9,462.82
  6. Step 6: Final answer
    x = 5,865.64

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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.