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Finding the Fourth Proportional to 6,489.54, 9,735.78 and 1,872.54

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Solution

The fourth proportional to 6,489.54, 9,735.78 and 1,872.54 is: 2,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.54 : 9,735.78 = 1,872.54 : x
  2. Step 2: Convert to fraction form
    6,489.54/9,735.78 = 1,872.54/x
  3. Step 3: Cross multiply
    6,489.54x = 9,735.78 × 1,872.54
  4. Step 4: Simplify right side
    6,489.54x = 18,230,637.48
  5. Step 5: Solve for x
    x = 18,230,637.48/6,489.54
  6. Step 6: Final answer
    x = 2,809.23

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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.