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Finding the Fourth Proportional to 6,335.34, 9,504.36 and 2,178.42

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Solution

The fourth proportional to 6,335.34, 9,504.36 and 2,178.42 is: 3,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.34 : 9,504.36 = 2,178.42 : x
  2. Step 2: Convert to fraction form
    6,335.34/9,504.36 = 2,178.42/x
  3. Step 3: Cross multiply
    6,335.34x = 9,504.36 × 2,178.42
  4. Step 4: Simplify right side
    6,335.34x = 20,704,487.91
  5. Step 5: Solve for x
    x = 20,704,487.91/6,335.34
  6. Step 6: Final answer
    x = 3,268.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.