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Finding the Fourth Proportional to 9,416.74, 12,997.49 and 6,433.78

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Solution

The fourth proportional to 9,416.74, 12,997.49 and 6,433.78 is: 8,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.74 : 12,997.49 = 6,433.78 : x
  2. Step 2: Convert to fraction form
    9,416.74/12,997.49 = 6,433.78/x
  3. Step 3: Cross multiply
    9,416.74x = 12,997.49 × 6,433.78
  4. Step 4: Simplify right side
    9,416.74x = 83,622,991.21
  5. Step 5: Solve for x
    x = 83,622,991.21/9,416.74
  6. Step 6: Final answer
    x = 8,880.25

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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.