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Finding the Fourth Proportional to 9,519.57, 14,273.74 and 4,448.16

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Solution

The fourth proportional to 9,519.57, 14,273.74 and 4,448.16 is: 6,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.57 : 14,273.74 = 4,448.16 : x
  2. Step 2: Convert to fraction form
    9,519.57/14,273.74 = 4,448.16/x
  3. Step 3: Cross multiply
    9,519.57x = 14,273.74 × 4,448.16
  4. Step 4: Simplify right side
    9,519.57x = 63,491,879.32
  5. Step 5: Solve for x
    x = 63,491,879.32/9,519.57
  6. Step 6: Final answer
    x = 6,669.62

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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.