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Finding the Fourth Proportional to 6,494.44, 9,738.78 and 4,029.16

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Solution

The fourth proportional to 6,494.44, 9,738.78 and 4,029.16 is: 6,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.44 : 9,738.78 = 4,029.16 : x
  2. Step 2: Convert to fraction form
    6,494.44/9,738.78 = 4,029.16/x
  3. Step 3: Cross multiply
    6,494.44x = 9,738.78 × 4,029.16
  4. Step 4: Simplify right side
    6,494.44x = 39,239,102.82
  5. Step 5: Solve for x
    x = 39,239,102.82/6,494.44
  6. Step 6: Final answer
    x = 6,041.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.