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Finding the Fourth Proportional to 6,837.94, 9,435.74 and 3,853.24

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Solution

The fourth proportional to 6,837.94, 9,435.74 and 3,853.24 is: 5,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.94 : 9,435.74 = 3,853.24 : x
  2. Step 2: Convert to fraction form
    6,837.94/9,435.74 = 3,853.24/x
  3. Step 3: Cross multiply
    6,837.94x = 9,435.74 × 3,853.24
  4. Step 4: Simplify right side
    6,837.94x = 36,358,170.80
  5. Step 5: Solve for x
    x = 36,358,170.80/6,837.94
  6. Step 6: Final answer
    x = 5,317.12

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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.