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Finding the Fourth Proportional to 7,162.31, 9,883.83 and 3,975.41

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Solution

The fourth proportional to 7,162.31, 9,883.83 and 3,975.41 is: 5,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.31 : 9,883.83 = 3,975.41 : x
  2. Step 2: Convert to fraction form
    7,162.31/9,883.83 = 3,975.41/x
  3. Step 3: Cross multiply
    7,162.31x = 9,883.83 × 3,975.41
  4. Step 4: Simplify right side
    7,162.31x = 39,292,298.78
  5. Step 5: Solve for x
    x = 39,292,298.78/7,162.31
  6. Step 6: Final answer
    x = 5,485.99

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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.