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Finding the Fourth Proportional to 9,241.14, 12,759.48 and 8,657.94

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Solution

The fourth proportional to 9,241.14, 12,759.48 and 8,657.94 is: 11,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.14 : 12,759.48 = 8,657.94 : x
  2. Step 2: Convert to fraction form
    9,241.14/12,759.48 = 8,657.94/x
  3. Step 3: Cross multiply
    9,241.14x = 12,759.48 × 8,657.94
  4. Step 4: Simplify right side
    9,241.14x = 110,470,812.27
  5. Step 5: Solve for x
    x = 110,470,812.27/9,241.14
  6. Step 6: Final answer
    x = 11,954.24

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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.