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Finding the Fourth Proportional to 6,421.96, 8,862.36 and 3,769.40

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Solution

The fourth proportional to 6,421.96, 8,862.36 and 3,769.40 is: 5,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.96 : 8,862.36 = 3,769.40 : x
  2. Step 2: Convert to fraction form
    6,421.96/8,862.36 = 3,769.40/x
  3. Step 3: Cross multiply
    6,421.96x = 8,862.36 × 3,769.40
  4. Step 4: Simplify right side
    6,421.96x = 33,405,779.78
  5. Step 5: Solve for x
    x = 33,405,779.78/6,421.96
  6. Step 6: Final answer
    x = 5,201.80

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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.