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Finding the Fourth Proportional to 9,739.56, 14,606.03 and 3,164.12

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Solution

The fourth proportional to 9,739.56, 14,606.03 and 3,164.12 is: 4,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.56 : 14,606.03 = 3,164.12 : x
  2. Step 2: Convert to fraction form
    9,739.56/14,606.03 = 3,164.12/x
  3. Step 3: Cross multiply
    9,739.56x = 14,606.03 × 3,164.12
  4. Step 4: Simplify right side
    9,739.56x = 46,215,142.79
  5. Step 5: Solve for x
    x = 46,215,142.79/9,739.56
  6. Step 6: Final answer
    x = 4,745.10

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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.