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Finding the Fourth Proportional to 9,739.56, 13,412.28 and 8,462.84

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Solution

The fourth proportional to 9,739.56, 13,412.28 and 8,462.84 is: 11,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.56 : 13,412.28 = 8,462.84 : x
  2. Step 2: Convert to fraction form
    9,739.56/13,412.28 = 8,462.84/x
  3. Step 3: Cross multiply
    9,739.56x = 13,412.28 × 8,462.84
  4. Step 4: Simplify right side
    9,739.56x = 113,505,979.68
  5. Step 5: Solve for x
    x = 113,505,979.68/9,739.56
  6. Step 6: Final answer
    x = 11,654.12

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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.