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Finding the Fourth Proportional to 9,224.88, 13,835.53 and 4,226.17

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Solution

The fourth proportional to 9,224.88, 13,835.53 and 4,226.17 is: 6,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.88 : 13,835.53 = 4,226.17 : x
  2. Step 2: Convert to fraction form
    9,224.88/13,835.53 = 4,226.17/x
  3. Step 3: Cross multiply
    9,224.88x = 13,835.53 × 4,226.17
  4. Step 4: Simplify right side
    9,224.88x = 58,471,301.82
  5. Step 5: Solve for x
    x = 58,471,301.82/9,224.88
  6. Step 6: Final answer
    x = 6,338.43

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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.