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Finding the Fourth Proportional to 9,842.41, 14,760.82 and 3,268.63

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Solution

The fourth proportional to 9,842.41, 14,760.82 and 3,268.63 is: 4,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.41 : 14,760.82 = 3,268.63 : x
  2. Step 2: Convert to fraction form
    9,842.41/14,760.82 = 3,268.63/x
  3. Step 3: Cross multiply
    9,842.41x = 14,760.82 × 3,268.63
  4. Step 4: Simplify right side
    9,842.41x = 48,247,659.08
  5. Step 5: Solve for x
    x = 48,247,659.08/9,842.41
  6. Step 6: Final answer
    x = 4,902.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.