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Finding the Fourth Proportional to 7,143, 9,857.62 and 3,999.18

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Solution

The fourth proportional to 7,143, 9,857.62 and 3,999.18 is: 5,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 9,857.62 = 3,999.18 : x
  2. Step 2: Convert to fraction form
    7,143/9,857.62 = 3,999.18/x
  3. Step 3: Cross multiply
    7,143x = 9,857.62 × 3,999.18
  4. Step 4: Simplify right side
    7,143x = 39,422,396.75
  5. Step 5: Solve for x
    x = 39,422,396.75/7,143
  6. Step 6: Final answer
    x = 5,519.03

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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.