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Finding the Fourth Proportional to 9,891.20, 13,649.58 and 5,414.67

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Solution

The fourth proportional to 9,891.20, 13,649.58 and 5,414.67 is: 7,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.20 : 13,649.58 = 5,414.67 : x
  2. Step 2: Convert to fraction form
    9,891.20/13,649.58 = 5,414.67/x
  3. Step 3: Cross multiply
    9,891.20x = 13,649.58 × 5,414.67
  4. Step 4: Simplify right side
    9,891.20x = 73,907,971.34
  5. Step 5: Solve for x
    x = 73,907,971.34/9,891.20
  6. Step 6: Final answer
    x = 7,472.09

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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.