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Finding the Fourth Proportional to 7,634.72, 11,504.09 and 6,278.43

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Solution

The fourth proportional to 7,634.72, 11,504.09 and 6,278.43 is: 9,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.72 : 11,504.09 = 6,278.43 : x
  2. Step 2: Convert to fraction form
    7,634.72/11,504.09 = 6,278.43/x
  3. Step 3: Cross multiply
    7,634.72x = 11,504.09 × 6,278.43
  4. Step 4: Simplify right side
    7,634.72x = 72,227,647.30
  5. Step 5: Solve for x
    x = 72,227,647.30/7,634.72
  6. Step 6: Final answer
    x = 9,460.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.