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Finding the Fourth Proportional to 9,202.16, 13,794.24 and 3,653.66

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Solution

The fourth proportional to 9,202.16, 13,794.24 and 3,653.66 is: 5,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.16 : 13,794.24 = 3,653.66 : x
  2. Step 2: Convert to fraction form
    9,202.16/13,794.24 = 3,653.66/x
  3. Step 3: Cross multiply
    9,202.16x = 13,794.24 × 3,653.66
  4. Step 4: Simplify right side
    9,202.16x = 50,399,462.92
  5. Step 5: Solve for x
    x = 50,399,462.92/9,202.16
  6. Step 6: Final answer
    x = 5,476.92

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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.