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Finding the Fourth Proportional to 9,216.94, 13,825.83 and 2,644.06

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Solution

The fourth proportional to 9,216.94, 13,825.83 and 2,644.06 is: 3,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.94 : 13,825.83 = 2,644.06 : x
  2. Step 2: Convert to fraction form
    9,216.94/13,825.83 = 2,644.06/x
  3. Step 3: Cross multiply
    9,216.94x = 13,825.83 × 2,644.06
  4. Step 4: Simplify right side
    9,216.94x = 36,556,324.07
  5. Step 5: Solve for x
    x = 36,556,324.07/9,216.94
  6. Step 6: Final answer
    x = 3,966.21

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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.