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Finding the Fourth Proportional to 7,143.35, 9,857.72 and 3,999.65

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Solution

The fourth proportional to 7,143.35, 9,857.72 and 3,999.65 is: 5,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.35 : 9,857.72 = 3,999.65 : x
  2. Step 2: Convert to fraction form
    7,143.35/9,857.72 = 3,999.65/x
  3. Step 3: Cross multiply
    7,143.35x = 9,857.72 × 3,999.65
  4. Step 4: Simplify right side
    7,143.35x = 39,427,409.80
  5. Step 5: Solve for x
    x = 39,427,409.80/7,143.35
  6. Step 6: Final answer
    x = 5,519.46

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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.