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Finding the Fourth Proportional to 10,273.92, 14,170.92 and 6,297

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Solution

The fourth proportional to 10,273.92, 14,170.92 and 6,297 is: 8,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.92 : 14,170.92 = 6,297 : x
  2. Step 2: Convert to fraction form
    10,273.92/14,170.92 = 6,297/x
  3. Step 3: Cross multiply
    10,273.92x = 14,170.92 × 6,297
  4. Step 4: Simplify right side
    10,273.92x = 89,234,283.24
  5. Step 5: Solve for x
    x = 89,234,283.24/10,273.92
  6. Step 6: Final answer
    x = 8,685.51

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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.