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Finding the Fourth Proportional to 8,493.09, 12,740.31 and 2,944.19

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Solution

The fourth proportional to 8,493.09, 12,740.31 and 2,944.19 is: 4,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.09 : 12,740.31 = 2,944.19 : x
  2. Step 2: Convert to fraction form
    8,493.09/12,740.31 = 2,944.19/x
  3. Step 3: Cross multiply
    8,493.09x = 12,740.31 × 2,944.19
  4. Step 4: Simplify right side
    8,493.09x = 37,509,829.60
  5. Step 5: Solve for x
    x = 37,509,829.60/8,493.09
  6. Step 6: Final answer
    x = 4,416.51

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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.