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Finding the Fourth Proportional to 9,946.16, 13,727.04 and 5,754.68

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Solution

The fourth proportional to 9,946.16, 13,727.04 and 5,754.68 is: 7,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.16 : 13,727.04 = 5,754.68 : x
  2. Step 2: Convert to fraction form
    9,946.16/13,727.04 = 5,754.68/x
  3. Step 3: Cross multiply
    9,946.16x = 13,727.04 × 5,754.68
  4. Step 4: Simplify right side
    9,946.16x = 78,994,722.55
  5. Step 5: Solve for x
    x = 78,994,722.55/9,946.16
  6. Step 6: Final answer
    x = 7,942.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.