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Finding the Fourth Proportional to 9,742.56, 13,443.96 and 5,964.15

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Solution

The fourth proportional to 9,742.56, 13,443.96 and 5,964.15 is: 8,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.56 : 13,443.96 = 5,964.15 : x
  2. Step 2: Convert to fraction form
    9,742.56/13,443.96 = 5,964.15/x
  3. Step 3: Cross multiply
    9,742.56x = 13,443.96 × 5,964.15
  4. Step 4: Simplify right side
    9,742.56x = 80,181,794.03
  5. Step 5: Solve for x
    x = 80,181,794.03/9,742.56
  6. Step 6: Final answer
    x = 8,230.05

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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.