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Finding the Fourth Proportional to 6,780.92, 9,287.57 and 6,382.40

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Solution

The fourth proportional to 6,780.92, 9,287.57 and 6,382.40 is: 8,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.92 : 9,287.57 = 6,382.40 : x
  2. Step 2: Convert to fraction form
    6,780.92/9,287.57 = 6,382.40/x
  3. Step 3: Cross multiply
    6,780.92x = 9,287.57 × 6,382.40
  4. Step 4: Simplify right side
    6,780.92x = 59,276,986.77
  5. Step 5: Solve for x
    x = 59,276,986.77/6,780.92
  6. Step 6: Final answer
    x = 8,741.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.