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Finding the Fourth Proportional to 9,219, 12,722.22 and 5,027.26

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Solution

The fourth proportional to 9,219, 12,722.22 and 5,027.26 is: 6,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219 : 12,722.22 = 5,027.26 : x
  2. Step 2: Convert to fraction form
    9,219/12,722.22 = 5,027.26/x
  3. Step 3: Cross multiply
    9,219x = 12,722.22 × 5,027.26
  4. Step 4: Simplify right side
    9,219x = 63,957,907.72
  5. Step 5: Solve for x
    x = 63,957,907.72/9,219
  6. Step 6: Final answer
    x = 6,937.62

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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.