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Finding the Fourth Proportional to 9,794.50, 13,516.34 and 5,318.22

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Solution

The fourth proportional to 9,794.50, 13,516.34 and 5,318.22 is: 7,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.50 : 13,516.34 = 5,318.22 : x
  2. Step 2: Convert to fraction form
    9,794.50/13,516.34 = 5,318.22/x
  3. Step 3: Cross multiply
    9,794.50x = 13,516.34 × 5,318.22
  4. Step 4: Simplify right side
    9,794.50x = 71,882,869.71
  5. Step 5: Solve for x
    x = 71,882,869.71/9,794.50
  6. Step 6: Final answer
    x = 7,339.11

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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.