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Finding the Fourth Proportional to 9,262.90, 13,896.51 and 2,689.21

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Solution

The fourth proportional to 9,262.90, 13,896.51 and 2,689.21 is: 4,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.90 : 13,896.51 = 2,689.21 : x
  2. Step 2: Convert to fraction form
    9,262.90/13,896.51 = 2,689.21/x
  3. Step 3: Cross multiply
    9,262.90x = 13,896.51 × 2,689.21
  4. Step 4: Simplify right side
    9,262.90x = 37,370,633.66
  5. Step 5: Solve for x
    x = 37,370,633.66/9,262.90
  6. Step 6: Final answer
    x = 4,034.44

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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.