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Finding the Fourth Proportional to 9,794.72, 13,516.80 and 5,546

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Solution

The fourth proportional to 9,794.72, 13,516.80 and 5,546 is: 7,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.72 : 13,516.80 = 5,546 : x
  2. Step 2: Convert to fraction form
    9,794.72/13,516.80 = 5,546/x
  3. Step 3: Cross multiply
    9,794.72x = 13,516.80 × 5,546
  4. Step 4: Simplify right side
    9,794.72x = 74,964,172.80
  5. Step 5: Solve for x
    x = 74,964,172.80/9,794.72
  6. Step 6: Final answer
    x = 7,653.53

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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.