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Finding the Fourth Proportional to 6,830.56, 9,419.72 and 6,321.48

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Solution

The fourth proportional to 6,830.56, 9,419.72 and 6,321.48 is: 8,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.56 : 9,419.72 = 6,321.48 : x
  2. Step 2: Convert to fraction form
    6,830.56/9,419.72 = 6,321.48/x
  3. Step 3: Cross multiply
    6,830.56x = 9,419.72 × 6,321.48
  4. Step 4: Simplify right side
    6,830.56x = 59,546,571.59
  5. Step 5: Solve for x
    x = 59,546,571.59/6,830.56
  6. Step 6: Final answer
    x = 8,717.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.