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Finding the Fourth Proportional to 6,455.30, 9,668.55 and 3,863.30

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Solution

The fourth proportional to 6,455.30, 9,668.55 and 3,863.30 is: 5,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.30 : 9,668.55 = 3,863.30 : x
  2. Step 2: Convert to fraction form
    6,455.30/9,668.55 = 3,863.30/x
  3. Step 3: Cross multiply
    6,455.30x = 9,668.55 × 3,863.30
  4. Step 4: Simplify right side
    6,455.30x = 37,352,509.22
  5. Step 5: Solve for x
    x = 37,352,509.22/6,455.30
  6. Step 6: Final answer
    x = 5,786.33

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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.