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Finding the Fourth Proportional to 6,944.01, 9,582.14 and 3,919.47

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Solution

The fourth proportional to 6,944.01, 9,582.14 and 3,919.47 is: 5,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.01 : 9,582.14 = 3,919.47 : x
  2. Step 2: Convert to fraction form
    6,944.01/9,582.14 = 3,919.47/x
  3. Step 3: Cross multiply
    6,944.01x = 9,582.14 × 3,919.47
  4. Step 4: Simplify right side
    6,944.01x = 37,556,890.67
  5. Step 5: Solve for x
    x = 37,556,890.67/6,944.01
  6. Step 6: Final answer
    x = 5,408.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.