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Finding the Fourth Proportional to 9,967.41, 13,760.55 and 5,989.50

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Solution

The fourth proportional to 9,967.41, 13,760.55 and 5,989.50 is: 8,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.41 : 13,760.55 = 5,989.50 : x
  2. Step 2: Convert to fraction form
    9,967.41/13,760.55 = 5,989.50/x
  3. Step 3: Cross multiply
    9,967.41x = 13,760.55 × 5,989.50
  4. Step 4: Simplify right side
    9,967.41x = 82,418,814.23
  5. Step 5: Solve for x
    x = 82,418,814.23/9,967.41
  6. Step 6: Final answer
    x = 8,268.83

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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.