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Finding the Fourth Proportional to 9,794.82, 13,516.92 and 5,318.58

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Solution

The fourth proportional to 9,794.82, 13,516.92 and 5,318.58 is: 7,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.82 : 13,516.92 = 5,318.58 : x
  2. Step 2: Convert to fraction form
    9,794.82/13,516.92 = 5,318.58/x
  3. Step 3: Cross multiply
    9,794.82x = 13,516.92 × 5,318.58
  4. Step 4: Simplify right side
    9,794.82x = 71,890,820.37
  5. Step 5: Solve for x
    x = 71,890,820.37/9,794.82
  6. Step 6: Final answer
    x = 7,339.68

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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.