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Finding the Fourth Proportional to 6,909.89, 9,534.57 and 3,884.42

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Solution

The fourth proportional to 6,909.89, 9,534.57 and 3,884.42 is: 5,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.89 : 9,534.57 = 3,884.42 : x
  2. Step 2: Convert to fraction form
    6,909.89/9,534.57 = 3,884.42/x
  3. Step 3: Cross multiply
    6,909.89x = 9,534.57 × 3,884.42
  4. Step 4: Simplify right side
    6,909.89x = 37,036,226.73
  5. Step 5: Solve for x
    x = 37,036,226.73/6,909.89
  6. Step 6: Final answer
    x = 5,359.89

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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.