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Finding the Fourth Proportional to 9,682.85, 13,361.55 and 5,433.33

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Solution

The fourth proportional to 9,682.85, 13,361.55 and 5,433.33 is: 7,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.85 : 13,361.55 = 5,433.33 : x
  2. Step 2: Convert to fraction form
    9,682.85/13,361.55 = 5,433.33/x
  3. Step 3: Cross multiply
    9,682.85x = 13,361.55 × 5,433.33
  4. Step 4: Simplify right side
    9,682.85x = 72,597,710.46
  5. Step 5: Solve for x
    x = 72,597,710.46/9,682.85
  6. Step 6: Final answer
    x = 7,497.56

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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.