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Finding the Fourth Proportional to 9,336.06, 12,884.67 and 6,974.10

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Solution

The fourth proportional to 9,336.06, 12,884.67 and 6,974.10 is: 9,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.06 : 12,884.67 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    9,336.06/12,884.67 = 6,974.10/x
  3. Step 3: Cross multiply
    9,336.06x = 12,884.67 × 6,974.10
  4. Step 4: Simplify right side
    9,336.06x = 89,858,977.05
  5. Step 5: Solve for x
    x = 89,858,977.05/9,336.06
  6. Step 6: Final answer
    x = 9,624.94

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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.