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Finding the Fourth Proportional to 9,682.22, 13,361.22 and 5,433.30

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Solution

The fourth proportional to 9,682.22, 13,361.22 and 5,433.30 is: 7,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.22 : 13,361.22 = 5,433.30 : x
  2. Step 2: Convert to fraction form
    9,682.22/13,361.22 = 5,433.30/x
  3. Step 3: Cross multiply
    9,682.22x = 13,361.22 × 5,433.30
  4. Step 4: Simplify right side
    9,682.22x = 72,595,516.63
  5. Step 5: Solve for x
    x = 72,595,516.63/9,682.22
  6. Step 6: Final answer
    x = 7,497.82

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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.