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Finding the Fourth Proportional to 7,143.50, 9,857.94 and 4,161.08

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Solution

The fourth proportional to 7,143.50, 9,857.94 and 4,161.08 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.50 : 9,857.94 = 4,161.08 : x
  2. Step 2: Convert to fraction form
    7,143.50/9,857.94 = 4,161.08/x
  3. Step 3: Cross multiply
    7,143.50x = 9,857.94 × 4,161.08
  4. Step 4: Simplify right side
    7,143.50x = 41,019,676.98
  5. Step 5: Solve for x
    x = 41,019,676.98/7,143.50
  6. Step 6: Final answer
    x = 5,742.24

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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.