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Finding the Fourth Proportional to 9,270.94, 13,905.60 and 3,427.60

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Solution

The fourth proportional to 9,270.94, 13,905.60 and 3,427.60 is: 5,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.94 : 13,905.60 = 3,427.60 : x
  2. Step 2: Convert to fraction form
    9,270.94/13,905.60 = 3,427.60/x
  3. Step 3: Cross multiply
    9,270.94x = 13,905.60 × 3,427.60
  4. Step 4: Simplify right side
    9,270.94x = 47,662,834.56
  5. Step 5: Solve for x
    x = 47,662,834.56/9,270.94
  6. Step 6: Final answer
    x = 5,141.10

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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.