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Finding the Fourth Proportional to 9,110.09, 13,662.43 and 3,914.75

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Solution

The fourth proportional to 9,110.09, 13,662.43 and 3,914.75 is: 5,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.09 : 13,662.43 = 3,914.75 : x
  2. Step 2: Convert to fraction form
    9,110.09/13,662.43 = 3,914.75/x
  3. Step 3: Cross multiply
    9,110.09x = 13,662.43 × 3,914.75
  4. Step 4: Simplify right side
    9,110.09x = 53,484,997.84
  5. Step 5: Solve for x
    x = 53,484,997.84/9,110.09
  6. Step 6: Final answer
    x = 5,870.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.