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Finding the Fourth Proportional to 9,202.73, 13,803.89 and 2,277.23

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Solution

The fourth proportional to 9,202.73, 13,803.89 and 2,277.23 is: 3,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.73 : 13,803.89 = 2,277.23 : x
  2. Step 2: Convert to fraction form
    9,202.73/13,803.89 = 2,277.23/x
  3. Step 3: Cross multiply
    9,202.73x = 13,803.89 × 2,277.23
  4. Step 4: Simplify right side
    9,202.73x = 31,434,552.02
  5. Step 5: Solve for x
    x = 31,434,552.02/9,202.73
  6. Step 6: Final answer
    x = 3,415.79

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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.