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Finding the Fourth Proportional to 6,546.36, 9,033.90 and 4,311.48

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Solution

The fourth proportional to 6,546.36, 9,033.90 and 4,311.48 is: 5,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.36 : 9,033.90 = 4,311.48 : x
  2. Step 2: Convert to fraction form
    6,546.36/9,033.90 = 4,311.48/x
  3. Step 3: Cross multiply
    6,546.36x = 9,033.90 × 4,311.48
  4. Step 4: Simplify right side
    6,546.36x = 38,949,479.17
  5. Step 5: Solve for x
    x = 38,949,479.17/6,546.36
  6. Step 6: Final answer
    x = 5,949.79

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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.