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Finding the Fourth Proportional to 9,299.82, 12,835.97 and 5,323.23

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Solution

The fourth proportional to 9,299.82, 12,835.97 and 5,323.23 is: 7,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.82 : 12,835.97 = 5,323.23 : x
  2. Step 2: Convert to fraction form
    9,299.82/12,835.97 = 5,323.23/x
  3. Step 3: Cross multiply
    9,299.82x = 12,835.97 × 5,323.23
  4. Step 4: Simplify right side
    9,299.82x = 68,328,813.93
  5. Step 5: Solve for x
    x = 68,328,813.93/9,299.82
  6. Step 6: Final answer
    x = 7,347.32

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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.