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Finding the Fourth Proportional to 6,522.17, 9,000.65 and 3,538.13

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Solution

The fourth proportional to 6,522.17, 9,000.65 and 3,538.13 is: 4,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.17 : 9,000.65 = 3,538.13 : x
  2. Step 2: Convert to fraction form
    6,522.17/9,000.65 = 3,538.13/x
  3. Step 3: Cross multiply
    6,522.17x = 9,000.65 × 3,538.13
  4. Step 4: Simplify right side
    6,522.17x = 31,845,433.63
  5. Step 5: Solve for x
    x = 31,845,433.63/6,522.17
  6. Step 6: Final answer
    x = 4,882.65

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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.