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Finding the Fourth Proportional to 9,735.56, 14,605.44 and 3,161.24

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Solution

The fourth proportional to 9,735.56, 14,605.44 and 3,161.24 is: 4,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.56 : 14,605.44 = 3,161.24 : x
  2. Step 2: Convert to fraction form
    9,735.56/14,605.44 = 3,161.24/x
  3. Step 3: Cross multiply
    9,735.56x = 14,605.44 × 3,161.24
  4. Step 4: Simplify right side
    9,735.56x = 46,171,301.15
  5. Step 5: Solve for x
    x = 46,171,301.15/9,735.56
  6. Step 6: Final answer
    x = 4,742.54

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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.