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Finding the Fourth Proportional to 6,820.20, 9,412.20 and 3,836.16

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Solution

The fourth proportional to 6,820.20, 9,412.20 and 3,836.16 is: 5,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.20 : 9,412.20 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    6,820.20/9,412.20 = 3,836.16/x
  3. Step 3: Cross multiply
    6,820.20x = 9,412.20 × 3,836.16
  4. Step 4: Simplify right side
    6,820.20x = 36,106,705.15
  5. Step 5: Solve for x
    x = 36,106,705.15/6,820.20
  6. Step 6: Final answer
    x = 5,294.08

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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.