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Finding the Fourth Proportional to 7,105.50, 9,806.22 and 3,919.32

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Solution

The fourth proportional to 7,105.50, 9,806.22 and 3,919.32 is: 5,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.50 : 9,806.22 = 3,919.32 : x
  2. Step 2: Convert to fraction form
    7,105.50/9,806.22 = 3,919.32/x
  3. Step 3: Cross multiply
    7,105.50x = 9,806.22 × 3,919.32
  4. Step 4: Simplify right side
    7,105.50x = 38,433,714.17
  5. Step 5: Solve for x
    x = 38,433,714.17/7,105.50
  6. Step 6: Final answer
    x = 5,409.01

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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.