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Finding the Fourth Proportional to 9,177, 13,765.50 and 3,021.48

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Solution

The fourth proportional to 9,177, 13,765.50 and 3,021.48 is: 4,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177 : 13,765.50 = 3,021.48 : x
  2. Step 2: Convert to fraction form
    9,177/13,765.50 = 3,021.48/x
  3. Step 3: Cross multiply
    9,177x = 13,765.50 × 3,021.48
  4. Step 4: Simplify right side
    9,177x = 41,592,182.94
  5. Step 5: Solve for x
    x = 41,592,182.94/9,177
  6. Step 6: Final answer
    x = 4,532.22

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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.