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Finding the Fourth Proportional to 6,522.43, 9,000.71 and 3,538.16

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Solution

The fourth proportional to 6,522.43, 9,000.71 and 3,538.16 is: 4,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.43 : 9,000.71 = 3,538.16 : x
  2. Step 2: Convert to fraction form
    6,522.43/9,000.71 = 3,538.16/x
  3. Step 3: Cross multiply
    6,522.43x = 9,000.71 × 3,538.16
  4. Step 4: Simplify right side
    6,522.43x = 31,845,934.40
  5. Step 5: Solve for x
    x = 31,845,934.40/6,522.43
  6. Step 6: Final answer
    x = 4,882.53

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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.