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Finding the Fourth Proportional to 6,546.36, 9,033.69 and 3,562.14

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Solution

The fourth proportional to 6,546.36, 9,033.69 and 3,562.14 is: 4,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.36 : 9,033.69 = 3,562.14 : x
  2. Step 2: Convert to fraction form
    6,546.36/9,033.69 = 3,562.14/x
  3. Step 3: Cross multiply
    6,546.36x = 9,033.69 × 3,562.14
  4. Step 4: Simplify right side
    6,546.36x = 32,179,268.50
  5. Step 5: Solve for x
    x = 32,179,268.50/6,546.36
  6. Step 6: Final answer
    x = 4,915.60

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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.