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Finding the Fourth Proportional to 9,592.50, 13,232.72 and 6,234.09

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Solution

The fourth proportional to 9,592.50, 13,232.72 and 6,234.09 is: 8,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.50 : 13,232.72 = 6,234.09 : x
  2. Step 2: Convert to fraction form
    9,592.50/13,232.72 = 6,234.09/x
  3. Step 3: Cross multiply
    9,592.50x = 13,232.72 × 6,234.09
  4. Step 4: Simplify right side
    9,592.50x = 82,493,935.54
  5. Step 5: Solve for x
    x = 82,493,935.54/9,592.50
  6. Step 6: Final answer
    x = 8,599.84

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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.