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Finding the Fourth Proportional to 9,842.69, 14,763.83 and 3,268.94

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Solution

The fourth proportional to 9,842.69, 14,763.83 and 3,268.94 is: 4,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.69 : 14,763.83 = 3,268.94 : x
  2. Step 2: Convert to fraction form
    9,842.69/14,763.83 = 3,268.94/x
  3. Step 3: Cross multiply
    9,842.69x = 14,763.83 × 3,268.94
  4. Step 4: Simplify right side
    9,842.69x = 48,261,984.28
  5. Step 5: Solve for x
    x = 48,261,984.28/9,842.69
  6. Step 6: Final answer
    x = 4,903.34

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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.