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Finding the Fourth Proportional to 6,699.36, 9,249.91 and 4,466.50

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Solution

The fourth proportional to 6,699.36, 9,249.91 and 4,466.50 is: 6,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.36 : 9,249.91 = 4,466.50 : x
  2. Step 2: Convert to fraction form
    6,699.36/9,249.91 = 4,466.50/x
  3. Step 3: Cross multiply
    6,699.36x = 9,249.91 × 4,466.50
  4. Step 4: Simplify right side
    6,699.36x = 41,314,723.02
  5. Step 5: Solve for x
    x = 41,314,723.02/6,699.36
  6. Step 6: Final answer
    x = 6,166.97

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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.