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Finding the Fourth Proportional to 9,202.56, 13,796.28 and 3,355.44

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Solution

The fourth proportional to 9,202.56, 13,796.28 and 3,355.44 is: 5,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.56 : 13,796.28 = 3,355.44 : x
  2. Step 2: Convert to fraction form
    9,202.56/13,796.28 = 3,355.44/x
  3. Step 3: Cross multiply
    9,202.56x = 13,796.28 × 3,355.44
  4. Step 4: Simplify right side
    9,202.56x = 46,292,589.76
  5. Step 5: Solve for x
    x = 46,292,589.76/9,202.56
  6. Step 6: Final answer
    x = 5,030.40

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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.