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Finding the Fourth Proportional to 9,744.62, 14,616.99 and 3,170.79

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Solution

The fourth proportional to 9,744.62, 14,616.99 and 3,170.79 is: 4,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.62 : 14,616.99 = 3,170.79 : x
  2. Step 2: Convert to fraction form
    9,744.62/14,616.99 = 3,170.79/x
  3. Step 3: Cross multiply
    9,744.62x = 14,616.99 × 3,170.79
  4. Step 4: Simplify right side
    9,744.62x = 46,347,405.72
  5. Step 5: Solve for x
    x = 46,347,405.72/9,744.62
  6. Step 6: Final answer
    x = 4,756.21

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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.