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Finding the Fourth Proportional to 6,109.44, 8,430.96 and 3,456.88

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Solution

The fourth proportional to 6,109.44, 8,430.96 and 3,456.88 is: 4,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.44 : 8,430.96 = 3,456.88 : x
  2. Step 2: Convert to fraction form
    6,109.44/8,430.96 = 3,456.88/x
  3. Step 3: Cross multiply
    6,109.44x = 8,430.96 × 3,456.88
  4. Step 4: Simplify right side
    6,109.44x = 29,144,817.00
  5. Step 5: Solve for x
    x = 29,144,817.00/6,109.44
  6. Step 6: Final answer
    x = 4,770.46

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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.