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Finding the Fourth Proportional to 9,174.96, 13,762.62 and 3,627

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Solution

The fourth proportional to 9,174.96, 13,762.62 and 3,627 is: 5,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.96 : 13,762.62 = 3,627 : x
  2. Step 2: Convert to fraction form
    9,174.96/13,762.62 = 3,627/x
  3. Step 3: Cross multiply
    9,174.96x = 13,762.62 × 3,627
  4. Step 4: Simplify right side
    9,174.96x = 49,917,022.74
  5. Step 5: Solve for x
    x = 49,917,022.74/9,174.96
  6. Step 6: Final answer
    x = 5,440.57

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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.