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Finding the Fourth Proportional to 9,101.94, 13,649.94 and 2,944.50

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Solution

The fourth proportional to 9,101.94, 13,649.94 and 2,944.50 is: 4,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.94 : 13,649.94 = 2,944.50 : x
  2. Step 2: Convert to fraction form
    9,101.94/13,649.94 = 2,944.50/x
  3. Step 3: Cross multiply
    9,101.94x = 13,649.94 × 2,944.50
  4. Step 4: Simplify right side
    9,101.94x = 40,192,248.33
  5. Step 5: Solve for x
    x = 40,192,248.33/9,101.94
  6. Step 6: Final answer
    x = 4,415.79

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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.