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Finding the Fourth Proportional to 6,274.89, 9,409.36 and 2,323.44

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Solution

The fourth proportional to 6,274.89, 9,409.36 and 2,323.44 is: 3,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.89 : 9,409.36 = 2,323.44 : x
  2. Step 2: Convert to fraction form
    6,274.89/9,409.36 = 2,323.44/x
  3. Step 3: Cross multiply
    6,274.89x = 9,409.36 × 2,323.44
  4. Step 4: Simplify right side
    6,274.89x = 21,862,083.40
  5. Step 5: Solve for x
    x = 21,862,083.40/6,274.89
  6. Step 6: Final answer
    x = 3,484.06

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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.