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Finding the Fourth Proportional to 10,247.20, 14,135.78 and 6,469

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Solution

The fourth proportional to 10,247.20, 14,135.78 and 6,469 is: 8,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.20 : 14,135.78 = 6,469 : x
  2. Step 2: Convert to fraction form
    10,247.20/14,135.78 = 6,469/x
  3. Step 3: Cross multiply
    10,247.20x = 14,135.78 × 6,469
  4. Step 4: Simplify right side
    10,247.20x = 91,444,360.82
  5. Step 5: Solve for x
    x = 91,444,360.82/10,247.20
  6. Step 6: Final answer
    x = 8,923.84

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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.