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Finding the Fourth Proportional to 9,842.37, 14,766.05 and 3,268.59

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Solution

The fourth proportional to 9,842.37, 14,766.05 and 3,268.59 is: 4,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.37 : 14,766.05 = 3,268.59 : x
  2. Step 2: Convert to fraction form
    9,842.37/14,766.05 = 3,268.59/x
  3. Step 3: Cross multiply
    9,842.37x = 14,766.05 × 3,268.59
  4. Step 4: Simplify right side
    9,842.37x = 48,264,163.37
  5. Step 5: Solve for x
    x = 48,264,163.37/9,842.37
  6. Step 6: Final answer
    x = 4,903.71

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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.