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Finding the Fourth Proportional to 9,270.96, 13,910.64 and 3,935.64

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Solution

The fourth proportional to 9,270.96, 13,910.64 and 3,935.64 is: 5,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.96 : 13,910.64 = 3,935.64 : x
  2. Step 2: Convert to fraction form
    9,270.96/13,910.64 = 3,935.64/x
  3. Step 3: Cross multiply
    9,270.96x = 13,910.64 × 3,935.64
  4. Step 4: Simplify right side
    9,270.96x = 54,747,271.21
  5. Step 5: Solve for x
    x = 54,747,271.21/9,270.96
  6. Step 6: Final answer
    x = 5,905.24

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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.