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Finding the Fourth Proportional to 9,744.57, 14,617.04 and 3,170.73

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Solution

The fourth proportional to 9,744.57, 14,617.04 and 3,170.73 is: 4,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.57 : 14,617.04 = 3,170.73 : x
  2. Step 2: Convert to fraction form
    9,744.57/14,617.04 = 3,170.73/x
  3. Step 3: Cross multiply
    9,744.57x = 14,617.04 × 3,170.73
  4. Step 4: Simplify right side
    9,744.57x = 46,346,671.39
  5. Step 5: Solve for x
    x = 46,346,671.39/9,744.57
  6. Step 6: Final answer
    x = 4,756.15

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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.