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Finding the Fourth Proportional to 9,958.50, 13,742.73 and 5,983.02

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Solution

The fourth proportional to 9,958.50, 13,742.73 and 5,983.02 is: 8,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.50 : 13,742.73 = 5,983.02 : x
  2. Step 2: Convert to fraction form
    9,958.50/13,742.73 = 5,983.02/x
  3. Step 3: Cross multiply
    9,958.50x = 13,742.73 × 5,983.02
  4. Step 4: Simplify right side
    9,958.50x = 82,223,028.44
  5. Step 5: Solve for x
    x = 82,223,028.44/9,958.50
  6. Step 6: Final answer
    x = 8,256.57

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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.