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Finding the Fourth Proportional to 9,202.14, 13,796.73 and 3,653.10

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Solution

The fourth proportional to 9,202.14, 13,796.73 and 3,653.10 is: 5,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.14 : 13,796.73 = 3,653.10 : x
  2. Step 2: Convert to fraction form
    9,202.14/13,796.73 = 3,653.10/x
  3. Step 3: Cross multiply
    9,202.14x = 13,796.73 × 3,653.10
  4. Step 4: Simplify right side
    9,202.14x = 50,400,834.36
  5. Step 5: Solve for x
    x = 50,400,834.36/9,202.14
  6. Step 6: Final answer
    x = 5,477.08

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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.