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Finding the Fourth Proportional to 9,122.82, 13,684.23 and 2,197.32

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Solution

The fourth proportional to 9,122.82, 13,684.23 and 2,197.32 is: 3,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.82 : 13,684.23 = 2,197.32 : x
  2. Step 2: Convert to fraction form
    9,122.82/13,684.23 = 2,197.32/x
  3. Step 3: Cross multiply
    9,122.82x = 13,684.23 × 2,197.32
  4. Step 4: Simplify right side
    9,122.82x = 30,068,632.26
  5. Step 5: Solve for x
    x = 30,068,632.26/9,122.82
  6. Step 6: Final answer
    x = 3,295.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.