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Finding the Fourth Proportional to 9,137.73, 13,704.96 and 2,562.30

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Solution

The fourth proportional to 9,137.73, 13,704.96 and 2,562.30 is: 3,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.73 : 13,704.96 = 2,562.30 : x
  2. Step 2: Convert to fraction form
    9,137.73/13,704.96 = 2,562.30/x
  3. Step 3: Cross multiply
    9,137.73x = 13,704.96 × 2,562.30
  4. Step 4: Simplify right side
    9,137.73x = 35,116,219.01
  5. Step 5: Solve for x
    x = 35,116,219.01/9,137.73
  6. Step 6: Final answer
    x = 3,842.99

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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.