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Finding the Fourth Proportional to 6,820.12, 9,410.34 and 3,836.08

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Solution

The fourth proportional to 6,820.12, 9,410.34 and 3,836.08 is: 5,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.12 : 9,410.34 = 3,836.08 : x
  2. Step 2: Convert to fraction form
    6,820.12/9,410.34 = 3,836.08/x
  3. Step 3: Cross multiply
    6,820.12x = 9,410.34 × 3,836.08
  4. Step 4: Simplify right side
    6,820.12x = 36,098,817.07
  5. Step 5: Solve for x
    x = 36,098,817.07/6,820.12
  6. Step 6: Final answer
    x = 5,292.99

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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.