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Finding the Fourth Proportional to 9,165.56, 13,748.28 and 2,240

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Solution

The fourth proportional to 9,165.56, 13,748.28 and 2,240 is: 3,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.56 : 13,748.28 = 2,240 : x
  2. Step 2: Convert to fraction form
    9,165.56/13,748.28 = 2,240/x
  3. Step 3: Cross multiply
    9,165.56x = 13,748.28 × 2,240
  4. Step 4: Simplify right side
    9,165.56x = 30,796,147.20
  5. Step 5: Solve for x
    x = 30,796,147.20/9,165.56
  6. Step 6: Final answer
    x = 3,359.99

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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.