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Finding the Fourth Proportional to 6,288.96, 9,431.82 and 2,592.24

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Solution

The fourth proportional to 6,288.96, 9,431.82 and 2,592.24 is: 3,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.96 : 9,431.82 = 2,592.24 : x
  2. Step 2: Convert to fraction form
    6,288.96/9,431.82 = 2,592.24/x
  3. Step 3: Cross multiply
    6,288.96x = 9,431.82 × 2,592.24
  4. Step 4: Simplify right side
    6,288.96x = 24,449,541.08
  5. Step 5: Solve for x
    x = 24,449,541.08/6,288.96
  6. Step 6: Final answer
    x = 3,887.69

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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.