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Finding the Fourth Proportional to 6,821.34, 9,412.92 and 3,836.64

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Solution

The fourth proportional to 6,821.34, 9,412.92 and 3,836.64 is: 5,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.34 : 9,412.92 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    6,821.34/9,412.92 = 3,836.64/x
  3. Step 3: Cross multiply
    6,821.34x = 9,412.92 × 3,836.64
  4. Step 4: Simplify right side
    6,821.34x = 36,113,985.39
  5. Step 5: Solve for x
    x = 36,113,985.39/6,821.34
  6. Step 6: Final answer
    x = 5,294.27

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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.