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Finding the Fourth Proportional to 9,922.06, 13,692.61 and 5,446.22

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Solution

The fourth proportional to 9,922.06, 13,692.61 and 5,446.22 is: 7,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.06 : 13,692.61 = 5,446.22 : x
  2. Step 2: Convert to fraction form
    9,922.06/13,692.61 = 5,446.22/x
  3. Step 3: Cross multiply
    9,922.06x = 13,692.61 × 5,446.22
  4. Step 4: Simplify right side
    9,922.06x = 74,572,939.20
  5. Step 5: Solve for x
    x = 74,572,939.20/9,922.06
  6. Step 6: Final answer
    x = 7,515.88

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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.