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Finding the Fourth Proportional to 9,601.94, 14,427.24 and 9,213.14

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Solution

The fourth proportional to 9,601.94, 14,427.24 and 9,213.14 is: 13,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.94 : 14,427.24 = 9,213.14 : x
  2. Step 2: Convert to fraction form
    9,601.94/14,427.24 = 9,213.14/x
  3. Step 3: Cross multiply
    9,601.94x = 14,427.24 × 9,213.14
  4. Step 4: Simplify right side
    9,601.94x = 132,920,181.93
  5. Step 5: Solve for x
    x = 132,920,181.93/9,601.94
  6. Step 6: Final answer
    x = 13,843.05

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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.