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Finding the Fourth Proportional to 9,122.82, 13,657.57 and 8,247.33

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Solution

The fourth proportional to 9,122.82, 13,657.57 and 8,247.33 is: 12,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.82 : 13,657.57 = 8,247.33 : x
  2. Step 2: Convert to fraction form
    9,122.82/13,657.57 = 8,247.33/x
  3. Step 3: Cross multiply
    9,122.82x = 13,657.57 × 8,247.33
  4. Step 4: Simplify right side
    9,122.82x = 112,638,486.79
  5. Step 5: Solve for x
    x = 112,638,486.79/9,122.82
  6. Step 6: Final answer
    x = 12,346.89

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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.