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Finding the Fourth Proportional to 10,197.44, 14,073.28 and 5,949.80

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Solution

The fourth proportional to 10,197.44, 14,073.28 and 5,949.80 is: 8,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.44 : 14,073.28 = 5,949.80 : x
  2. Step 2: Convert to fraction form
    10,197.44/14,073.28 = 5,949.80/x
  3. Step 3: Cross multiply
    10,197.44x = 14,073.28 × 5,949.80
  4. Step 4: Simplify right side
    10,197.44x = 83,733,201.34
  5. Step 5: Solve for x
    x = 83,733,201.34/10,197.44
  6. Step 6: Final answer
    x = 8,211.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.