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Finding the Fourth Proportional to 10,469.24, 14,447.94 and 6,276.68

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Solution

The fourth proportional to 10,469.24, 14,447.94 and 6,276.68 is: 8,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.24 : 14,447.94 = 6,276.68 : x
  2. Step 2: Convert to fraction form
    10,469.24/14,447.94 = 6,276.68/x
  3. Step 3: Cross multiply
    10,469.24x = 14,447.94 × 6,276.68
  4. Step 4: Simplify right side
    10,469.24x = 90,685,096.04
  5. Step 5: Solve for x
    x = 90,685,096.04/10,469.24
  6. Step 6: Final answer
    x = 8,662.05

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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.