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Finding the Fourth Proportional to 9,462.64, 14,185.71 and 3,912.52

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Solution

The fourth proportional to 9,462.64, 14,185.71 and 3,912.52 is: 5,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.64 : 14,185.71 = 3,912.52 : x
  2. Step 2: Convert to fraction form
    9,462.64/14,185.71 = 3,912.52/x
  3. Step 3: Cross multiply
    9,462.64x = 14,185.71 × 3,912.52
  4. Step 4: Simplify right side
    9,462.64x = 55,501,874.09
  5. Step 5: Solve for x
    x = 55,501,874.09/9,462.64
  6. Step 6: Final answer
    x = 5,865.37

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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.