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Finding the Fourth Proportional to 9,898.90, 14,843.71 and 5,740.09

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Solution

The fourth proportional to 9,898.90, 14,843.71 and 5,740.09 is: 8,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.90 : 14,843.71 = 5,740.09 : x
  2. Step 2: Convert to fraction form
    9,898.90/14,843.71 = 5,740.09/x
  3. Step 3: Cross multiply
    9,898.90x = 14,843.71 × 5,740.09
  4. Step 4: Simplify right side
    9,898.90x = 85,204,231.33
  5. Step 5: Solve for x
    x = 85,204,231.33/9,898.90
  6. Step 6: Final answer
    x = 8,607.44

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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.