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Finding the Fourth Proportional to 7,143.93, 9,857.70 and 4,000.12

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Solution

The fourth proportional to 7,143.93, 9,857.70 and 4,000.12 is: 5,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.93 : 9,857.70 = 4,000.12 : x
  2. Step 2: Convert to fraction form
    7,143.93/9,857.70 = 4,000.12/x
  3. Step 3: Cross multiply
    7,143.93x = 9,857.70 × 4,000.12
  4. Step 4: Simplify right side
    7,143.93x = 39,431,958.28
  5. Step 5: Solve for x
    x = 39,431,958.28/7,143.93
  6. Step 6: Final answer
    x = 5,519.65

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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.