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Finding the Fourth Proportional to 9,538.92, 14,311.98 and 3,996

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Solution

The fourth proportional to 9,538.92, 14,311.98 and 3,996 is: 5,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.92 : 14,311.98 = 3,996 : x
  2. Step 2: Convert to fraction form
    9,538.92/14,311.98 = 3,996/x
  3. Step 3: Cross multiply
    9,538.92x = 14,311.98 × 3,996
  4. Step 4: Simplify right side
    9,538.92x = 57,190,672.08
  5. Step 5: Solve for x
    x = 57,190,672.08/9,538.92
  6. Step 6: Final answer
    x = 5,995.51

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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.