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Finding the Fourth Proportional to 9,175.56, 13,763.28 and 2,250

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Solution

The fourth proportional to 9,175.56, 13,763.28 and 2,250 is: 3,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.56 : 13,763.28 = 2,250 : x
  2. Step 2: Convert to fraction form
    9,175.56/13,763.28 = 2,250/x
  3. Step 3: Cross multiply
    9,175.56x = 13,763.28 × 2,250
  4. Step 4: Simplify right side
    9,175.56x = 30,967,380
  5. Step 5: Solve for x
    x = 30,967,380/9,175.56
  6. Step 6: Final answer
    x = 3,374.99

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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.