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Finding the Fourth Proportional to 9,696.38, 14,544.68 and 3,122.55

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Solution

The fourth proportional to 9,696.38, 14,544.68 and 3,122.55 is: 4,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.38 : 14,544.68 = 3,122.55 : x
  2. Step 2: Convert to fraction form
    9,696.38/14,544.68 = 3,122.55/x
  3. Step 3: Cross multiply
    9,696.38x = 14,544.68 × 3,122.55
  4. Step 4: Simplify right side
    9,696.38x = 45,416,474.92
  5. Step 5: Solve for x
    x = 45,416,474.92/9,696.38
  6. Step 6: Final answer
    x = 4,683.86

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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.