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Finding the Fourth Proportional to 9,668.63, 14,500.66 and 5,453.69

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Solution

The fourth proportional to 9,668.63, 14,500.66 and 5,453.69 is: 8,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.63 : 14,500.66 = 5,453.69 : x
  2. Step 2: Convert to fraction form
    9,668.63/14,500.66 = 5,453.69/x
  3. Step 3: Cross multiply
    9,668.63x = 14,500.66 × 5,453.69
  4. Step 4: Simplify right side
    9,668.63x = 79,082,004.66
  5. Step 5: Solve for x
    x = 79,082,004.66/9,668.63
  6. Step 6: Final answer
    x = 8,179.24

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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.