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Finding the Fourth Proportional to 9,110.11, 13,662.11 and 3,486.47

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Solution

The fourth proportional to 9,110.11, 13,662.11 and 3,486.47 is: 5,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.11 : 13,662.11 = 3,486.47 : x
  2. Step 2: Convert to fraction form
    9,110.11/13,662.11 = 3,486.47/x
  3. Step 3: Cross multiply
    9,110.11x = 13,662.11 × 3,486.47
  4. Step 4: Simplify right side
    9,110.11x = 47,632,505.68
  5. Step 5: Solve for x
    x = 47,632,505.68/9,110.11
  6. Step 6: Final answer
    x = 5,228.53

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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.