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Finding the Fourth Proportional to 6,833.92, 9,435.36 and 4,040.32

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Solution

The fourth proportional to 6,833.92, 9,435.36 and 4,040.32 is: 5,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.92 : 9,435.36 = 4,040.32 : x
  2. Step 2: Convert to fraction form
    6,833.92/9,435.36 = 4,040.32/x
  3. Step 3: Cross multiply
    6,833.92x = 9,435.36 × 4,040.32
  4. Step 4: Simplify right side
    6,833.92x = 38,121,873.72
  5. Step 5: Solve for x
    x = 38,121,873.72/6,833.92
  6. Step 6: Final answer
    x = 5,578.33

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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.