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Finding the Fourth Proportional to 6,464.36, 9,681.78 and 3,861.96

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Solution

The fourth proportional to 6,464.36, 9,681.78 and 3,861.96 is: 5,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.36 : 9,681.78 = 3,861.96 : x
  2. Step 2: Convert to fraction form
    6,464.36/9,681.78 = 3,861.96/x
  3. Step 3: Cross multiply
    6,464.36x = 9,681.78 × 3,861.96
  4. Step 4: Simplify right side
    6,464.36x = 37,390,647.09
  5. Step 5: Solve for x
    x = 37,390,647.09/6,464.36
  6. Step 6: Final answer
    x = 5,784.12

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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.