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Finding the Fourth Proportional to 6,109.92, 8,431.68 and 3,421.28

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Solution

The fourth proportional to 6,109.92, 8,431.68 and 3,421.28 is: 4,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.92 : 8,431.68 = 3,421.28 : x
  2. Step 2: Convert to fraction form
    6,109.92/8,431.68 = 3,421.28/x
  3. Step 3: Cross multiply
    6,109.92x = 8,431.68 × 3,421.28
  4. Step 4: Simplify right side
    6,109.92x = 28,847,138.15
  5. Step 5: Solve for x
    x = 28,847,138.15/6,109.92
  6. Step 6: Final answer
    x = 4,721.36

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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.