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Finding the Fourth Proportional to 9,811.94, 13,540.74 and 5,835.20

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Solution

The fourth proportional to 9,811.94, 13,540.74 and 5,835.20 is: 8,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.94 : 13,540.74 = 5,835.20 : x
  2. Step 2: Convert to fraction form
    9,811.94/13,540.74 = 5,835.20/x
  3. Step 3: Cross multiply
    9,811.94x = 13,540.74 × 5,835.20
  4. Step 4: Simplify right side
    9,811.94x = 79,012,926.05
  5. Step 5: Solve for x
    x = 79,012,926.05/9,811.94
  6. Step 6: Final answer
    x = 8,052.73

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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.