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Finding the Fourth Proportional to 6,808.95, 9,395.63 and 3,825.11

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Solution

The fourth proportional to 6,808.95, 9,395.63 and 3,825.11 is: 5,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.95 : 9,395.63 = 3,825.11 : x
  2. Step 2: Convert to fraction form
    6,808.95/9,395.63 = 3,825.11/x
  3. Step 3: Cross multiply
    6,808.95x = 9,395.63 × 3,825.11
  4. Step 4: Simplify right side
    6,808.95x = 35,939,299.14
  5. Step 5: Solve for x
    x = 35,939,299.14/6,808.95
  6. Step 6: Final answer
    x = 5,278.24

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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.