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Finding the Fourth Proportional to 6,431.36, 9,654.92 and 4,241.92

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Solution

The fourth proportional to 6,431.36, 9,654.92 and 4,241.92 is: 6,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.36 : 9,654.92 = 4,241.92 : x
  2. Step 2: Convert to fraction form
    6,431.36/9,654.92 = 4,241.92/x
  3. Step 3: Cross multiply
    6,431.36x = 9,654.92 × 4,241.92
  4. Step 4: Simplify right side
    6,431.36x = 40,955,398.25
  5. Step 5: Solve for x
    x = 40,955,398.25/6,431.36
  6. Step 6: Final answer
    x = 6,368.08

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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.