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Finding the Fourth Proportional to 6,421.16, 8,862.68 and 3,769.42

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Solution

The fourth proportional to 6,421.16, 8,862.68 and 3,769.42 is: 5,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.16 : 8,862.68 = 3,769.42 : x
  2. Step 2: Convert to fraction form
    6,421.16/8,862.68 = 3,769.42/x
  3. Step 3: Cross multiply
    6,421.16x = 8,862.68 × 3,769.42
  4. Step 4: Simplify right side
    6,421.16x = 33,407,163.25
  5. Step 5: Solve for x
    x = 33,407,163.25/6,421.16
  6. Step 6: Final answer
    x = 5,202.67

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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.