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Finding the Fourth Proportional to 9,109.94, 13,659.24 and 3,842.24

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Solution

The fourth proportional to 9,109.94, 13,659.24 and 3,842.24 is: 5,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.94 : 13,659.24 = 3,842.24 : x
  2. Step 2: Convert to fraction form
    9,109.94/13,659.24 = 3,842.24/x
  3. Step 3: Cross multiply
    9,109.94x = 13,659.24 × 3,842.24
  4. Step 4: Simplify right side
    9,109.94x = 52,482,010.00
  5. Step 5: Solve for x
    x = 52,482,010.00/9,109.94
  6. Step 6: Final answer
    x = 5,760.96

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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.