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Finding the Fourth Proportional to 9,650.82, 14,477.60 and 3,074.79

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Solution

The fourth proportional to 9,650.82, 14,477.60 and 3,074.79 is: 4,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.82 : 14,477.60 = 3,074.79 : x
  2. Step 2: Convert to fraction form
    9,650.82/14,477.60 = 3,074.79/x
  3. Step 3: Cross multiply
    9,650.82x = 14,477.60 × 3,074.79
  4. Step 4: Simplify right side
    9,650.82x = 44,515,579.70
  5. Step 5: Solve for x
    x = 44,515,579.70/9,650.82
  6. Step 6: Final answer
    x = 4,612.62

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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.