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Finding the Fourth Proportional to 6,780.27, 9,367.47 and 6,411.18

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Solution

The fourth proportional to 6,780.27, 9,367.47 and 6,411.18 is: 8,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.27 : 9,367.47 = 6,411.18 : x
  2. Step 2: Convert to fraction form
    6,780.27/9,367.47 = 6,411.18/x
  3. Step 3: Cross multiply
    6,780.27x = 9,367.47 × 6,411.18
  4. Step 4: Simplify right side
    6,780.27x = 60,056,536.31
  5. Step 5: Solve for x
    x = 60,056,536.31/6,780.27
  6. Step 6: Final answer
    x = 8,857.54

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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.