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Finding the Fourth Proportional to 9,741.43, 14,602.89 and 3,163.01

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Solution

The fourth proportional to 9,741.43, 14,602.89 and 3,163.01 is: 4,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.43 : 14,602.89 = 3,163.01 : x
  2. Step 2: Convert to fraction form
    9,741.43/14,602.89 = 3,163.01/x
  3. Step 3: Cross multiply
    9,741.43x = 14,602.89 × 3,163.01
  4. Step 4: Simplify right side
    9,741.43x = 46,189,087.10
  5. Step 5: Solve for x
    x = 46,189,087.10/9,741.43
  6. Step 6: Final answer
    x = 4,741.51

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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.