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Finding the Fourth Proportional to 9,899.90, 14,845.20 and 5,741.09

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Solution

The fourth proportional to 9,899.90, 14,845.20 and 5,741.09 is: 8,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.90 : 14,845.20 = 5,741.09 : x
  2. Step 2: Convert to fraction form
    9,899.90/14,845.20 = 5,741.09/x
  3. Step 3: Cross multiply
    9,899.90x = 14,845.20 × 5,741.09
  4. Step 4: Simplify right side
    9,899.90x = 85,227,629.27
  5. Step 5: Solve for x
    x = 85,227,629.27/9,899.90
  6. Step 6: Final answer
    x = 8,608.94

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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.