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Finding the Fourth Proportional to 9,241.84, 13,844.40 and 8,485.84

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Solution

The fourth proportional to 9,241.84, 13,844.40 and 8,485.84 is: 12,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.84 : 13,844.40 = 8,485.84 : x
  2. Step 2: Convert to fraction form
    9,241.84/13,844.40 = 8,485.84/x
  3. Step 3: Cross multiply
    9,241.84x = 13,844.40 × 8,485.84
  4. Step 4: Simplify right side
    9,241.84x = 117,481,363.30
  5. Step 5: Solve for x
    x = 117,481,363.30/9,241.84
  6. Step 6: Final answer
    x = 12,711.90

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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.