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Finding the Fourth Proportional to 9,744.23, 14,617.86 and 3,168.87

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Solution

The fourth proportional to 9,744.23, 14,617.86 and 3,168.87 is: 4,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.23 : 14,617.86 = 3,168.87 : x
  2. Step 2: Convert to fraction form
    9,744.23/14,617.86 = 3,168.87/x
  3. Step 3: Cross multiply
    9,744.23x = 14,617.86 × 3,168.87
  4. Step 4: Simplify right side
    9,744.23x = 46,322,098.02
  5. Step 5: Solve for x
    x = 46,322,098.02/9,744.23
  6. Step 6: Final answer
    x = 4,753.80

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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.