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Finding the Fourth Proportional to 9,732.63, 13,431.04 and 5,540.88

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Solution

The fourth proportional to 9,732.63, 13,431.04 and 5,540.88 is: 7,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.63 : 13,431.04 = 5,540.88 : x
  2. Step 2: Convert to fraction form
    9,732.63/13,431.04 = 5,540.88/x
  3. Step 3: Cross multiply
    9,732.63x = 13,431.04 × 5,540.88
  4. Step 4: Simplify right side
    9,732.63x = 74,419,780.92
  5. Step 5: Solve for x
    x = 74,419,780.92/9,732.63
  6. Step 6: Final answer
    x = 7,646.42

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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.