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Finding the Fourth Proportional to 9,696.94, 14,544.83 and 3,456.62

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Solution

The fourth proportional to 9,696.94, 14,544.83 and 3,456.62 is: 5,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.94 : 14,544.83 = 3,456.62 : x
  2. Step 2: Convert to fraction form
    9,696.94/14,544.83 = 3,456.62/x
  3. Step 3: Cross multiply
    9,696.94x = 14,544.83 × 3,456.62
  4. Step 4: Simplify right side
    9,696.94x = 50,275,950.27
  5. Step 5: Solve for x
    x = 50,275,950.27/9,696.94
  6. Step 6: Final answer
    x = 5,184.72

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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.