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Finding the Fourth Proportional to 6,819.60, 9,450.56 and 6,688.38

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Solution

The fourth proportional to 6,819.60, 9,450.56 and 6,688.38 is: 9,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.60 : 9,450.56 = 6,688.38 : x
  2. Step 2: Convert to fraction form
    6,819.60/9,450.56 = 6,688.38/x
  3. Step 3: Cross multiply
    6,819.60x = 9,450.56 × 6,688.38
  4. Step 4: Simplify right side
    6,819.60x = 63,208,903.05
  5. Step 5: Solve for x
    x = 63,208,903.05/6,819.60
  6. Step 6: Final answer
    x = 9,268.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.