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Finding the Fourth Proportional to 8,946.80, 12,344.74 and 5,410.20

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Solution

The fourth proportional to 8,946.80, 12,344.74 and 5,410.20 is: 7,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.80 : 12,344.74 = 5,410.20 : x
  2. Step 2: Convert to fraction form
    8,946.80/12,344.74 = 5,410.20/x
  3. Step 3: Cross multiply
    8,946.80x = 12,344.74 × 5,410.20
  4. Step 4: Simplify right side
    8,946.80x = 66,787,512.35
  5. Step 5: Solve for x
    x = 66,787,512.35/8,946.80
  6. Step 6: Final answer
    x = 7,464.96

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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.