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Finding the Fourth Proportional to 9,346.80, 13,991.40 and 5,439.60

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Solution

The fourth proportional to 9,346.80, 13,991.40 and 5,439.60 is: 8,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.80 : 13,991.40 = 5,439.60 : x
  2. Step 2: Convert to fraction form
    9,346.80/13,991.40 = 5,439.60/x
  3. Step 3: Cross multiply
    9,346.80x = 13,991.40 × 5,439.60
  4. Step 4: Simplify right side
    9,346.80x = 76,107,619.44
  5. Step 5: Solve for x
    x = 76,107,619.44/9,346.80
  6. Step 6: Final answer
    x = 8,142.64

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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.