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Finding the Fourth Proportional to 9,800.22, 13,522.70 and 6,022.16

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Solution

The fourth proportional to 9,800.22, 13,522.70 and 6,022.16 is: 8,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.22 : 13,522.70 = 6,022.16 : x
  2. Step 2: Convert to fraction form
    9,800.22/13,522.70 = 6,022.16/x
  3. Step 3: Cross multiply
    9,800.22x = 13,522.70 × 6,022.16
  4. Step 4: Simplify right side
    9,800.22x = 81,435,863.03
  5. Step 5: Solve for x
    x = 81,435,863.03/9,800.22
  6. Step 6: Final answer
    x = 8,309.60

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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.