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Finding the Fourth Proportional to 6,845.98, 9,448.97 and 4,451.78

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Solution

The fourth proportional to 6,845.98, 9,448.97 and 4,451.78 is: 6,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.98 : 9,448.97 = 4,451.78 : x
  2. Step 2: Convert to fraction form
    6,845.98/9,448.97 = 4,451.78/x
  3. Step 3: Cross multiply
    6,845.98x = 9,448.97 × 4,451.78
  4. Step 4: Simplify right side
    6,845.98x = 42,064,713.41
  5. Step 5: Solve for x
    x = 42,064,713.41/6,845.98
  6. Step 6: Final answer
    x = 6,144.44

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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.