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Finding the Fourth Proportional to 6,522.24, 9,000.62 and 3,538.14

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Solution

The fourth proportional to 6,522.24, 9,000.62 and 3,538.14 is: 4,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.24 : 9,000.62 = 3,538.14 : x
  2. Step 2: Convert to fraction form
    6,522.24/9,000.62 = 3,538.14/x
  3. Step 3: Cross multiply
    6,522.24x = 9,000.62 × 3,538.14
  4. Step 4: Simplify right side
    6,522.24x = 31,845,453.65
  5. Step 5: Solve for x
    x = 31,845,453.65/6,522.24
  6. Step 6: Final answer
    x = 4,882.59

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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.