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Finding the Fourth Proportional to 6,864, 9,474.48 and 4,380

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Solution

The fourth proportional to 6,864, 9,474.48 and 4,380 is: 6,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,474.48 = 4,380 : x
  2. Step 2: Convert to fraction form
    6,864/9,474.48 = 4,380/x
  3. Step 3: Cross multiply
    6,864x = 9,474.48 × 4,380
  4. Step 4: Simplify right side
    6,864x = 41,498,222.40
  5. Step 5: Solve for x
    x = 41,498,222.40/6,864
  6. Step 6: Final answer
    x = 6,045.78

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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.