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Finding the Fourth Proportional to 6,837.81, 9,435.91 and 3,854.25

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Solution

The fourth proportional to 6,837.81, 9,435.91 and 3,854.25 is: 5,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.81 : 9,435.91 = 3,854.25 : x
  2. Step 2: Convert to fraction form
    6,837.81/9,435.91 = 3,854.25/x
  3. Step 3: Cross multiply
    6,837.81x = 9,435.91 × 3,854.25
  4. Step 4: Simplify right side
    6,837.81x = 36,368,356.12
  5. Step 5: Solve for x
    x = 36,368,356.12/6,837.81
  6. Step 6: Final answer
    x = 5,318.71

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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.