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Finding the Fourth Proportional to 6,464.98, 9,678.33 and 3,991.85

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Solution

The fourth proportional to 6,464.98, 9,678.33 and 3,991.85 is: 5,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.98 : 9,678.33 = 3,991.85 : x
  2. Step 2: Convert to fraction form
    6,464.98/9,678.33 = 3,991.85/x
  3. Step 3: Cross multiply
    6,464.98x = 9,678.33 × 3,991.85
  4. Step 4: Simplify right side
    6,464.98x = 38,634,393.22
  5. Step 5: Solve for x
    x = 38,634,393.22/6,464.98
  6. Step 6: Final answer
    x = 5,975.95

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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.