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Finding the Fourth Proportional to 9,176.06, 13,764.09 and 2,250.50

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Solution

The fourth proportional to 9,176.06, 13,764.09 and 2,250.50 is: 3,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.06 : 13,764.09 = 2,250.50 : x
  2. Step 2: Convert to fraction form
    9,176.06/13,764.09 = 2,250.50/x
  3. Step 3: Cross multiply
    9,176.06x = 13,764.09 × 2,250.50
  4. Step 4: Simplify right side
    9,176.06x = 30,976,084.55
  5. Step 5: Solve for x
    x = 30,976,084.55/9,176.06
  6. Step 6: Final answer
    x = 3,375.75

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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.