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Finding the Fourth Proportional to 9,794.02, 13,511.67 and 7,282.14

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Solution

The fourth proportional to 9,794.02, 13,511.67 and 7,282.14 is: 10,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.02 : 13,511.67 = 7,282.14 : x
  2. Step 2: Convert to fraction form
    9,794.02/13,511.67 = 7,282.14/x
  3. Step 3: Cross multiply
    9,794.02x = 13,511.67 × 7,282.14
  4. Step 4: Simplify right side
    9,794.02x = 98,393,872.57
  5. Step 5: Solve for x
    x = 98,393,872.57/9,794.02
  6. Step 6: Final answer
    x = 10,046.32

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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.