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Finding the Fourth Proportional to 9,757.92, 14,638.92 and 3,184.48

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Solution

The fourth proportional to 9,757.92, 14,638.92 and 3,184.48 is: 4,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.92 : 14,638.92 = 3,184.48 : x
  2. Step 2: Convert to fraction form
    9,757.92/14,638.92 = 3,184.48/x
  3. Step 3: Cross multiply
    9,757.92x = 14,638.92 × 3,184.48
  4. Step 4: Simplify right side
    9,757.92x = 46,617,347.96
  5. Step 5: Solve for x
    x = 46,617,347.96/9,757.92
  6. Step 6: Final answer
    x = 4,777.39

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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.