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Finding the Fourth Proportional to 9,922.60, 14,863.20 and 4,662.10

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Solution

The fourth proportional to 9,922.60, 14,863.20 and 4,662.10 is: 6,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.60 : 14,863.20 = 4,662.10 : x
  2. Step 2: Convert to fraction form
    9,922.60/14,863.20 = 4,662.10/x
  3. Step 3: Cross multiply
    9,922.60x = 14,863.20 × 4,662.10
  4. Step 4: Simplify right side
    9,922.60x = 69,293,724.72
  5. Step 5: Solve for x
    x = 69,293,724.72/9,922.60
  6. Step 6: Final answer
    x = 6,983.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.