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Finding the Fourth Proportional to 6,522.30, 9,000.69 and 3,538.05

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Solution

The fourth proportional to 6,522.30, 9,000.69 and 3,538.05 is: 4,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.30 : 9,000.69 = 3,538.05 : x
  2. Step 2: Convert to fraction form
    6,522.30/9,000.69 = 3,538.05/x
  3. Step 3: Cross multiply
    6,522.30x = 9,000.69 × 3,538.05
  4. Step 4: Simplify right side
    6,522.30x = 31,844,891.25
  5. Step 5: Solve for x
    x = 31,844,891.25/6,522.30
  6. Step 6: Final answer
    x = 4,882.46

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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.