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Finding the Fourth Proportional to 6,489.36, 9,732.96 and 2,592.72

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Solution

The fourth proportional to 6,489.36, 9,732.96 and 2,592.72 is: 3,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.36 : 9,732.96 = 2,592.72 : x
  2. Step 2: Convert to fraction form
    6,489.36/9,732.96 = 2,592.72/x
  3. Step 3: Cross multiply
    6,489.36x = 9,732.96 × 2,592.72
  4. Step 4: Simplify right side
    6,489.36x = 25,234,840.05
  5. Step 5: Solve for x
    x = 25,234,840.05/6,489.36
  6. Step 6: Final answer
    x = 3,888.65

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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.