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Finding the Fourth Proportional to 8,996.41, 13,491.86 and 4,314

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Solution

The fourth proportional to 8,996.41, 13,491.86 and 4,314 is: 6,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.41 : 13,491.86 = 4,314 : x
  2. Step 2: Convert to fraction form
    8,996.41/13,491.86 = 4,314/x
  3. Step 3: Cross multiply
    8,996.41x = 13,491.86 × 4,314
  4. Step 4: Simplify right side
    8,996.41x = 58,203,884.04
  5. Step 5: Solve for x
    x = 58,203,884.04/8,996.41
  6. Step 6: Final answer
    x = 6,469.68

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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.