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Finding the Fourth Proportional to 7,143.33, 9,857.82 and 3,956.72

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Solution

The fourth proportional to 7,143.33, 9,857.82 and 3,956.72 is: 5,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.33 : 9,857.82 = 3,956.72 : x
  2. Step 2: Convert to fraction form
    7,143.33/9,857.82 = 3,956.72/x
  3. Step 3: Cross multiply
    7,143.33x = 9,857.82 × 3,956.72
  4. Step 4: Simplify right side
    7,143.33x = 39,004,584.26
  5. Step 5: Solve for x
    x = 39,004,584.26/7,143.33
  6. Step 6: Final answer
    x = 5,460.28

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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.