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Finding the Fourth Proportional to 9,260.97, 13,892.82 and 2,686.30

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Solution

The fourth proportional to 9,260.97, 13,892.82 and 2,686.30 is: 4,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.97 : 13,892.82 = 2,686.30 : x
  2. Step 2: Convert to fraction form
    9,260.97/13,892.82 = 2,686.30/x
  3. Step 3: Cross multiply
    9,260.97x = 13,892.82 × 2,686.30
  4. Step 4: Simplify right side
    9,260.97x = 37,320,237.56
  5. Step 5: Solve for x
    x = 37,320,237.56/9,260.97
  6. Step 6: Final answer
    x = 4,029.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.