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Finding the Fourth Proportional to 9,251.84, 13,874.14 and 3,010.33

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Solution

The fourth proportional to 9,251.84, 13,874.14 and 3,010.33 is: 4,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.84 : 13,874.14 = 3,010.33 : x
  2. Step 2: Convert to fraction form
    9,251.84/13,874.14 = 3,010.33/x
  3. Step 3: Cross multiply
    9,251.84x = 13,874.14 × 3,010.33
  4. Step 4: Simplify right side
    9,251.84x = 41,765,744.04
  5. Step 5: Solve for x
    x = 41,765,744.04/9,251.84
  6. Step 6: Final answer
    x = 4,514.32

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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.