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Finding the Fourth Proportional to 9,296.51, 13,944.53 and 3,749.73

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Solution

The fourth proportional to 9,296.51, 13,944.53 and 3,749.73 is: 5,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.51 : 13,944.53 = 3,749.73 : x
  2. Step 2: Convert to fraction form
    9,296.51/13,944.53 = 3,749.73/x
  3. Step 3: Cross multiply
    9,296.51x = 13,944.53 × 3,749.73
  4. Step 4: Simplify right side
    9,296.51x = 52,288,203.73
  5. Step 5: Solve for x
    x = 52,288,203.73/9,296.51
  6. Step 6: Final answer
    x = 5,624.50

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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.