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Finding the Fourth Proportional to 6,229.31, 9,343.94 and 1,549.29

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Solution

The fourth proportional to 6,229.31, 9,343.94 and 1,549.29 is: 2,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.31 : 9,343.94 = 1,549.29 : x
  2. Step 2: Convert to fraction form
    6,229.31/9,343.94 = 1,549.29/x
  3. Step 3: Cross multiply
    6,229.31x = 9,343.94 × 1,549.29
  4. Step 4: Simplify right side
    6,229.31x = 14,476,465.06
  5. Step 5: Solve for x
    x = 14,476,465.06/6,229.31
  6. Step 6: Final answer
    x = 2,323.93

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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.