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Finding the Fourth Proportional to 9,829.67, 14,739.03 and 3,254.09

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Solution

The fourth proportional to 9,829.67, 14,739.03 and 3,254.09 is: 4,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.67 : 14,739.03 = 3,254.09 : x
  2. Step 2: Convert to fraction form
    9,829.67/14,739.03 = 3,254.09/x
  3. Step 3: Cross multiply
    9,829.67x = 14,739.03 × 3,254.09
  4. Step 4: Simplify right side
    9,829.67x = 47,962,056.44
  5. Step 5: Solve for x
    x = 47,962,056.44/9,829.67
  6. Step 6: Final answer
    x = 4,879.32

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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.