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Finding the Fourth Proportional to 6,498.92, 8,969.28 and 3,846.34

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Solution

The fourth proportional to 6,498.92, 8,969.28 and 3,846.34 is: 5,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.92 : 8,969.28 = 3,846.34 : x
  2. Step 2: Convert to fraction form
    6,498.92/8,969.28 = 3,846.34/x
  3. Step 3: Cross multiply
    6,498.92x = 8,969.28 × 3,846.34
  4. Step 4: Simplify right side
    6,498.92x = 34,498,900.44
  5. Step 5: Solve for x
    x = 34,498,900.44/6,498.92
  6. Step 6: Final answer
    x = 5,308.41

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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.