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Finding the Fourth Proportional to 6,944.45, 9,584.73 and 4,824.41

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Solution

The fourth proportional to 6,944.45, 9,584.73 and 4,824.41 is: 6,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.45 : 9,584.73 = 4,824.41 : x
  2. Step 2: Convert to fraction form
    6,944.45/9,584.73 = 4,824.41/x
  3. Step 3: Cross multiply
    6,944.45x = 9,584.73 × 4,824.41
  4. Step 4: Simplify right side
    6,944.45x = 46,240,619.34
  5. Step 5: Solve for x
    x = 46,240,619.34/6,944.45
  6. Step 6: Final answer
    x = 6,658.65

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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.