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Finding the Fourth Proportional to 9,311.81, 12,861.29 and 7,172.15

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Solution

The fourth proportional to 9,311.81, 12,861.29 and 7,172.15 is: 9,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.81 : 12,861.29 = 7,172.15 : x
  2. Step 2: Convert to fraction form
    9,311.81/12,861.29 = 7,172.15/x
  3. Step 3: Cross multiply
    9,311.81x = 12,861.29 × 7,172.15
  4. Step 4: Simplify right side
    9,311.81x = 92,243,054.70
  5. Step 5: Solve for x
    x = 92,243,054.70/9,311.81
  6. Step 6: Final answer
    x = 9,906.03

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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.