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Finding the Fourth Proportional to 9,696.69, 14,546.52 and 4,150.02

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Solution

The fourth proportional to 9,696.69, 14,546.52 and 4,150.02 is: 6,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.69 : 14,546.52 = 4,150.02 : x
  2. Step 2: Convert to fraction form
    9,696.69/14,546.52 = 4,150.02/x
  3. Step 3: Cross multiply
    9,696.69x = 14,546.52 × 4,150.02
  4. Step 4: Simplify right side
    9,696.69x = 60,368,348.93
  5. Step 5: Solve for x
    x = 60,368,348.93/9,696.69
  6. Step 6: Final answer
    x = 6,225.67

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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.