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Finding the Fourth Proportional to 9,739.56, 13,439.82 and 5,961.15

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Solution

The fourth proportional to 9,739.56, 13,439.82 and 5,961.15 is: 8,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.56 : 13,439.82 = 5,961.15 : x
  2. Step 2: Convert to fraction form
    9,739.56/13,439.82 = 5,961.15/x
  3. Step 3: Cross multiply
    9,739.56x = 13,439.82 × 5,961.15
  4. Step 4: Simplify right side
    9,739.56x = 80,116,782.99
  5. Step 5: Solve for x
    x = 80,116,782.99/9,739.56
  6. Step 6: Final answer
    x = 8,225.91

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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.