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Finding the Fourth Proportional to 6,109.44, 8,430.72 and 3,456.96

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Solution

The fourth proportional to 6,109.44, 8,430.72 and 3,456.96 is: 4,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.44 : 8,430.72 = 3,456.96 : x
  2. Step 2: Convert to fraction form
    6,109.44/8,430.72 = 3,456.96/x
  3. Step 3: Cross multiply
    6,109.44x = 8,430.72 × 3,456.96
  4. Step 4: Simplify right side
    6,109.44x = 29,144,661.81
  5. Step 5: Solve for x
    x = 29,144,661.81/6,109.44
  6. Step 6: Final answer
    x = 4,770.43

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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.