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Finding the Fourth Proportional to 9,301.44, 13,953.60 and 3,144

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Solution

The fourth proportional to 9,301.44, 13,953.60 and 3,144 is: 4,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.44 : 13,953.60 = 3,144 : x
  2. Step 2: Convert to fraction form
    9,301.44/13,953.60 = 3,144/x
  3. Step 3: Cross multiply
    9,301.44x = 13,953.60 × 3,144
  4. Step 4: Simplify right side
    9,301.44x = 43,870,118.40
  5. Step 5: Solve for x
    x = 43,870,118.40/9,301.44
  6. Step 6: Final answer
    x = 4,716.49

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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.