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Finding the Fourth Proportional to 9,375.10, 14,062.80 and 2,449.60

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Solution

The fourth proportional to 9,375.10, 14,062.80 and 2,449.60 is: 3,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.10 : 14,062.80 = 2,449.60 : x
  2. Step 2: Convert to fraction form
    9,375.10/14,062.80 = 2,449.60/x
  3. Step 3: Cross multiply
    9,375.10x = 14,062.80 × 2,449.60
  4. Step 4: Simplify right side
    9,375.10x = 34,448,234.88
  5. Step 5: Solve for x
    x = 34,448,234.88/9,375.10
  6. Step 6: Final answer
    x = 3,674.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.