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Finding the Fourth Proportional to 6,820.14, 9,412.02 and 3,836.55

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Solution

The fourth proportional to 6,820.14, 9,412.02 and 3,836.55 is: 5,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.14 : 9,412.02 = 3,836.55 : x
  2. Step 2: Convert to fraction form
    6,820.14/9,412.02 = 3,836.55/x
  3. Step 3: Cross multiply
    6,820.14x = 9,412.02 × 3,836.55
  4. Step 4: Simplify right side
    6,820.14x = 36,109,685.33
  5. Step 5: Solve for x
    x = 36,109,685.33/6,820.14
  6. Step 6: Final answer
    x = 5,294.57

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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.