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Finding the Fourth Proportional to 9,410.92, 14,117.72 and 3,084.44

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Solution

The fourth proportional to 9,410.92, 14,117.72 and 3,084.44 is: 4,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.92 : 14,117.72 = 3,084.44 : x
  2. Step 2: Convert to fraction form
    9,410.92/14,117.72 = 3,084.44/x
  3. Step 3: Cross multiply
    9,410.92x = 14,117.72 × 3,084.44
  4. Step 4: Simplify right side
    9,410.92x = 43,545,244.85
  5. Step 5: Solve for x
    x = 43,545,244.85/9,410.92
  6. Step 6: Final answer
    x = 4,627.10

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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.