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Finding the Fourth Proportional to 9,797.94, 13,511.95 and 7,556.27

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Solution

The fourth proportional to 9,797.94, 13,511.95 and 7,556.27 is: 10,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.94 : 13,511.95 = 7,556.27 : x
  2. Step 2: Convert to fraction form
    9,797.94/13,511.95 = 7,556.27/x
  3. Step 3: Cross multiply
    9,797.94x = 13,511.95 × 7,556.27
  4. Step 4: Simplify right side
    9,797.94x = 102,099,855.98
  5. Step 5: Solve for x
    x = 102,099,855.98/9,797.94
  6. Step 6: Final answer
    x = 10,420.54

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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.