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Finding the Fourth Proportional to 9,794.46, 13,516.14 and 5,318.13

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Solution

The fourth proportional to 9,794.46, 13,516.14 and 5,318.13 is: 7,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.46 : 13,516.14 = 5,318.13 : x
  2. Step 2: Convert to fraction form
    9,794.46/13,516.14 = 5,318.13/x
  3. Step 3: Cross multiply
    9,794.46x = 13,516.14 × 5,318.13
  4. Step 4: Simplify right side
    9,794.46x = 71,880,589.62
  5. Step 5: Solve for x
    x = 71,880,589.62/9,794.46
  6. Step 6: Final answer
    x = 7,338.90

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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.