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Finding the Fourth Proportional to 9,538.74, 14,311.20 and 4,608.92

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Solution

The fourth proportional to 9,538.74, 14,311.20 and 4,608.92 is: 6,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.74 : 14,311.20 = 4,608.92 : x
  2. Step 2: Convert to fraction form
    9,538.74/14,311.20 = 4,608.92/x
  3. Step 3: Cross multiply
    9,538.74x = 14,311.20 × 4,608.92
  4. Step 4: Simplify right side
    9,538.74x = 65,959,175.90
  5. Step 5: Solve for x
    x = 65,959,175.90/9,538.74
  6. Step 6: Final answer
    x = 6,914.87

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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.