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Finding the Fourth Proportional to 9,668.67, 14,478.37 and 6,371.76

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Solution

The fourth proportional to 9,668.67, 14,478.37 and 6,371.76 is: 9,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.67 : 14,478.37 = 6,371.76 : x
  2. Step 2: Convert to fraction form
    9,668.67/14,478.37 = 6,371.76/x
  3. Step 3: Cross multiply
    9,668.67x = 14,478.37 × 6,371.76
  4. Step 4: Simplify right side
    9,668.67x = 92,252,755.12
  5. Step 5: Solve for x
    x = 92,252,755.12/9,668.67
  6. Step 6: Final answer
    x = 9,541.41

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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.