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Finding the Fourth Proportional to 9,884.43, 13,638.15 and 6,352.47

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Solution

The fourth proportional to 9,884.43, 13,638.15 and 6,352.47 is: 8,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.43 : 13,638.15 = 6,352.47 : x
  2. Step 2: Convert to fraction form
    9,884.43/13,638.15 = 6,352.47/x
  3. Step 3: Cross multiply
    9,884.43x = 13,638.15 × 6,352.47
  4. Step 4: Simplify right side
    9,884.43x = 86,635,938.73
  5. Step 5: Solve for x
    x = 86,635,938.73/9,884.43
  6. Step 6: Final answer
    x = 8,764.89

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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.