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Finding the Fourth Proportional to 9,884.44, 14,823.08 and 3,309.09

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Solution

The fourth proportional to 9,884.44, 14,823.08 and 3,309.09 is: 4,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.44 : 14,823.08 = 3,309.09 : x
  2. Step 2: Convert to fraction form
    9,884.44/14,823.08 = 3,309.09/x
  3. Step 3: Cross multiply
    9,884.44x = 14,823.08 × 3,309.09
  4. Step 4: Simplify right side
    9,884.44x = 49,050,905.80
  5. Step 5: Solve for x
    x = 49,050,905.80/9,884.44
  6. Step 6: Final answer
    x = 4,962.44

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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.