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Finding the Fourth Proportional to 9,122.64, 13,682.34 and 2,549.49

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Solution

The fourth proportional to 9,122.64, 13,682.34 and 2,549.49 is: 3,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.64 : 13,682.34 = 2,549.49 : x
  2. Step 2: Convert to fraction form
    9,122.64/13,682.34 = 2,549.49/x
  3. Step 3: Cross multiply
    9,122.64x = 13,682.34 × 2,549.49
  4. Step 4: Simplify right side
    9,122.64x = 34,882,989.01
  5. Step 5: Solve for x
    x = 34,882,989.01/9,122.64
  6. Step 6: Final answer
    x = 3,823.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.