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Finding the Fourth Proportional to 9,794.89, 13,516.87 and 5,318.55

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Solution

The fourth proportional to 9,794.89, 13,516.87 and 5,318.55 is: 7,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.89 : 13,516.87 = 5,318.55 : x
  2. Step 2: Convert to fraction form
    9,794.89/13,516.87 = 5,318.55/x
  3. Step 3: Cross multiply
    9,794.89x = 13,516.87 × 5,318.55
  4. Step 4: Simplify right side
    9,794.89x = 71,890,148.94
  5. Step 5: Solve for x
    x = 71,890,148.94/9,794.89
  6. Step 6: Final answer
    x = 7,339.56

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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.