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Finding the Fourth Proportional to 7,241.60, 9,993.36 and 4,097.72

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Solution

The fourth proportional to 7,241.60, 9,993.36 and 4,097.72 is: 5,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.60 : 9,993.36 = 4,097.72 : x
  2. Step 2: Convert to fraction form
    7,241.60/9,993.36 = 4,097.72/x
  3. Step 3: Cross multiply
    7,241.60x = 9,993.36 × 4,097.72
  4. Step 4: Simplify right side
    7,241.60x = 40,949,991.14
  5. Step 5: Solve for x
    x = 40,949,991.14/7,241.60
  6. Step 6: Final answer
    x = 5,654.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.