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Finding the Fourth Proportional to 6,696.40, 10,028.40 and 6,404.80

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Solution

The fourth proportional to 6,696.40, 10,028.40 and 6,404.80 is: 9,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.40 : 10,028.40 = 6,404.80 : x
  2. Step 2: Convert to fraction form
    6,696.40/10,028.40 = 6,404.80/x
  3. Step 3: Cross multiply
    6,696.40x = 10,028.40 × 6,404.80
  4. Step 4: Simplify right side
    6,696.40x = 64,229,896.32
  5. Step 5: Solve for x
    x = 64,229,896.32/6,696.40
  6. Step 6: Final answer
    x = 9,591.71

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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.