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Finding the Fourth Proportional to 9,522.65, 13,141.46 and 6,171.30

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Solution

The fourth proportional to 9,522.65, 13,141.46 and 6,171.30 is: 8,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.65 : 13,141.46 = 6,171.30 : x
  2. Step 2: Convert to fraction form
    9,522.65/13,141.46 = 6,171.30/x
  3. Step 3: Cross multiply
    9,522.65x = 13,141.46 × 6,171.30
  4. Step 4: Simplify right side
    9,522.65x = 81,099,861.24
  5. Step 5: Solve for x
    x = 81,099,861.24/9,522.65
  6. Step 6: Final answer
    x = 8,516.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.