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Finding the Fourth Proportional to 6,837.63, 9,433.83 and 4,182.27

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Solution

The fourth proportional to 6,837.63, 9,433.83 and 4,182.27 is: 5,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.63 : 9,433.83 = 4,182.27 : x
  2. Step 2: Convert to fraction form
    6,837.63/9,433.83 = 4,182.27/x
  3. Step 3: Cross multiply
    6,837.63x = 9,433.83 × 4,182.27
  4. Step 4: Simplify right side
    6,837.63x = 39,454,824.19
  5. Step 5: Solve for x
    x = 39,454,824.19/6,837.63
  6. Step 6: Final answer
    x = 5,770.25

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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.