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Finding the Fourth Proportional to 9,713.44, 14,571.60 and 3,556

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Solution

The fourth proportional to 9,713.44, 14,571.60 and 3,556 is: 5,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.44 : 14,571.60 = 3,556 : x
  2. Step 2: Convert to fraction form
    9,713.44/14,571.60 = 3,556/x
  3. Step 3: Cross multiply
    9,713.44x = 14,571.60 × 3,556
  4. Step 4: Simplify right side
    9,713.44x = 51,816,609.60
  5. Step 5: Solve for x
    x = 51,816,609.60/9,713.44
  6. Step 6: Final answer
    x = 5,334.53

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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.