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Finding the Fourth Proportional to 6,799.25, 9,382.96 and 3,815.08

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Solution

The fourth proportional to 6,799.25, 9,382.96 and 3,815.08 is: 5,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.25 : 9,382.96 = 3,815.08 : x
  2. Step 2: Convert to fraction form
    6,799.25/9,382.96 = 3,815.08/x
  3. Step 3: Cross multiply
    6,799.25x = 9,382.96 × 3,815.08
  4. Step 4: Simplify right side
    6,799.25x = 35,796,710.04
  5. Step 5: Solve for x
    x = 35,796,710.04/6,799.25
  6. Step 6: Final answer
    x = 5,264.80

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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.