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Finding the Fourth Proportional to 9,739.50, 13,441.50 and 5,965.16

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Solution

The fourth proportional to 9,739.50, 13,441.50 and 5,965.16 is: 8,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.50 : 13,441.50 = 5,965.16 : x
  2. Step 2: Convert to fraction form
    9,739.50/13,441.50 = 5,965.16/x
  3. Step 3: Cross multiply
    9,739.50x = 13,441.50 × 5,965.16
  4. Step 4: Simplify right side
    9,739.50x = 80,180,698.14
  5. Step 5: Solve for x
    x = 80,180,698.14/9,739.50
  6. Step 6: Final answer
    x = 8,232.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.