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Finding the Fourth Proportional to 9,250.65, 13,874.34 and 3,009.75

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Solution

The fourth proportional to 9,250.65, 13,874.34 and 3,009.75 is: 4,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.65 : 13,874.34 = 3,009.75 : x
  2. Step 2: Convert to fraction form
    9,250.65/13,874.34 = 3,009.75/x
  3. Step 3: Cross multiply
    9,250.65x = 13,874.34 × 3,009.75
  4. Step 4: Simplify right side
    9,250.65x = 41,758,294.82
  5. Step 5: Solve for x
    x = 41,758,294.82/9,250.65
  6. Step 6: Final answer
    x = 4,514.09

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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.