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Finding the Fourth Proportional to 6,229.40, 9,343.89 and 1,549.40

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Solution

The fourth proportional to 6,229.40, 9,343.89 and 1,549.40 is: 2,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.40 : 9,343.89 = 1,549.40 : x
  2. Step 2: Convert to fraction form
    6,229.40/9,343.89 = 1,549.40/x
  3. Step 3: Cross multiply
    6,229.40x = 9,343.89 × 1,549.40
  4. Step 4: Simplify right side
    6,229.40x = 14,477,376.45
  5. Step 5: Solve for x
    x = 14,477,376.45/6,229.40
  6. Step 6: Final answer
    x = 2,324.04

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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.