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Finding the Fourth Proportional to 9,222.06, 12,722.79 and 5,679.12

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Solution

The fourth proportional to 9,222.06, 12,722.79 and 5,679.12 is: 7,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.06 : 12,722.79 = 5,679.12 : x
  2. Step 2: Convert to fraction form
    9,222.06/12,722.79 = 5,679.12/x
  3. Step 3: Cross multiply
    9,222.06x = 12,722.79 × 5,679.12
  4. Step 4: Simplify right side
    9,222.06x = 72,254,251.14
  5. Step 5: Solve for x
    x = 72,254,251.14/9,222.06
  6. Step 6: Final answer
    x = 7,834.94

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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.