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Finding the Fourth Proportional to 6,152.42, 9,222.94 and 2,453.75

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Solution

The fourth proportional to 6,152.42, 9,222.94 and 2,453.75 is: 3,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.42 : 9,222.94 = 2,453.75 : x
  2. Step 2: Convert to fraction form
    6,152.42/9,222.94 = 2,453.75/x
  3. Step 3: Cross multiply
    6,152.42x = 9,222.94 × 2,453.75
  4. Step 4: Simplify right side
    6,152.42x = 22,630,789.03
  5. Step 5: Solve for x
    x = 22,630,789.03/6,152.42
  6. Step 6: Final answer
    x = 3,678.36

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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.