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Finding the Fourth Proportional to 6,546.29, 9,033.71 and 3,562.13

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Solution

The fourth proportional to 6,546.29, 9,033.71 and 3,562.13 is: 4,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.29 : 9,033.71 = 3,562.13 : x
  2. Step 2: Convert to fraction form
    6,546.29/9,033.71 = 3,562.13/x
  3. Step 3: Cross multiply
    6,546.29x = 9,033.71 × 3,562.13
  4. Step 4: Simplify right side
    6,546.29x = 32,179,213.14
  5. Step 5: Solve for x
    x = 32,179,213.14/6,546.29
  6. Step 6: Final answer
    x = 4,915.65

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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.