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Finding the Fourth Proportional to 9,732.56, 13,429.80 and 5,540.24

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Solution

The fourth proportional to 9,732.56, 13,429.80 and 5,540.24 is: 7,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.56 : 13,429.80 = 5,540.24 : x
  2. Step 2: Convert to fraction form
    9,732.56/13,429.80 = 5,540.24/x
  3. Step 3: Cross multiply
    9,732.56x = 13,429.80 × 5,540.24
  4. Step 4: Simplify right side
    9,732.56x = 74,404,315.15
  5. Step 5: Solve for x
    x = 74,404,315.15/9,732.56
  6. Step 6: Final answer
    x = 7,644.89

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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.