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Finding the Fourth Proportional to 9,519.44, 14,282.31 and 6,005.39

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Solution

The fourth proportional to 9,519.44, 14,282.31 and 6,005.39 is: 9,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.44 : 14,282.31 = 6,005.39 : x
  2. Step 2: Convert to fraction form
    9,519.44/14,282.31 = 6,005.39/x
  3. Step 3: Cross multiply
    9,519.44x = 14,282.31 × 6,005.39
  4. Step 4: Simplify right side
    9,519.44x = 85,770,841.65
  5. Step 5: Solve for x
    x = 85,770,841.65/9,519.44
  6. Step 6: Final answer
    x = 9,010.07

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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.