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Finding the Fourth Proportional to 7,241.60, 9,993.12 and 4,098.44

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Solution

The fourth proportional to 7,241.60, 9,993.12 and 4,098.44 is: 5,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.60 : 9,993.12 = 4,098.44 : x
  2. Step 2: Convert to fraction form
    7,241.60/9,993.12 = 4,098.44/x
  3. Step 3: Cross multiply
    7,241.60x = 9,993.12 × 4,098.44
  4. Step 4: Simplify right side
    7,241.60x = 40,956,202.73
  5. Step 5: Solve for x
    x = 40,956,202.73/7,241.60
  6. Step 6: Final answer
    x = 5,655.68

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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.