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Finding the Fourth Proportional to 6,783.25, 9,360.98 and 3,799.06

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Solution

The fourth proportional to 6,783.25, 9,360.98 and 3,799.06 is: 5,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.25 : 9,360.98 = 3,799.06 : x
  2. Step 2: Convert to fraction form
    6,783.25/9,360.98 = 3,799.06/x
  3. Step 3: Cross multiply
    6,783.25x = 9,360.98 × 3,799.06
  4. Step 4: Simplify right side
    6,783.25x = 35,562,858.88
  5. Step 5: Solve for x
    x = 35,562,858.88/6,783.25
  6. Step 6: Final answer
    x = 5,242.75

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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.