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Finding the Fourth Proportional to 6,864.56, 9,469.59 and 4,342.41

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Solution

The fourth proportional to 6,864.56, 9,469.59 and 4,342.41 is: 5,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.56 : 9,469.59 = 4,342.41 : x
  2. Step 2: Convert to fraction form
    6,864.56/9,469.59 = 4,342.41/x
  3. Step 3: Cross multiply
    6,864.56x = 9,469.59 × 4,342.41
  4. Step 4: Simplify right side
    6,864.56x = 41,120,842.31
  5. Step 5: Solve for x
    x = 41,120,842.31/6,864.56
  6. Step 6: Final answer
    x = 5,990.31

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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.