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Finding the Fourth Proportional to 9,668.08, 14,491 and 4,463

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Solution

The fourth proportional to 9,668.08, 14,491 and 4,463 is: 6,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.08 : 14,491 = 4,463 : x
  2. Step 2: Convert to fraction form
    9,668.08/14,491 = 4,463/x
  3. Step 3: Cross multiply
    9,668.08x = 14,491 × 4,463
  4. Step 4: Simplify right side
    9,668.08x = 64,673,333
  5. Step 5: Solve for x
    x = 64,673,333/9,668.08
  6. Step 6: Final answer
    x = 6,689.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.