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Finding the Fourth Proportional to 6,892.29, 9,511.43 and 3,748.55

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Solution

The fourth proportional to 6,892.29, 9,511.43 and 3,748.55 is: 5,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.29 : 9,511.43 = 3,748.55 : x
  2. Step 2: Convert to fraction form
    6,892.29/9,511.43 = 3,748.55/x
  3. Step 3: Cross multiply
    6,892.29x = 9,511.43 × 3,748.55
  4. Step 4: Simplify right side
    6,892.29x = 35,654,004.63
  5. Step 5: Solve for x
    x = 35,654,004.63/6,892.29
  6. Step 6: Final answer
    x = 5,173.03

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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.