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Finding the Fourth Proportional to 7,241.21, 9,992.59 and 4,097.40

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Solution

The fourth proportional to 7,241.21, 9,992.59 and 4,097.40 is: 5,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.21 : 9,992.59 = 4,097.40 : x
  2. Step 2: Convert to fraction form
    7,241.21/9,992.59 = 4,097.40/x
  3. Step 3: Cross multiply
    7,241.21x = 9,992.59 × 4,097.40
  4. Step 4: Simplify right side
    7,241.21x = 40,943,638.27
  5. Step 5: Solve for x
    x = 40,943,638.27/7,241.21
  6. Step 6: Final answer
    x = 5,654.25

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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.