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Finding the Fourth Proportional to 6,446.20, 9,669.30 and 5,409.40

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Solution

The fourth proportional to 6,446.20, 9,669.30 and 5,409.40 is: 8,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.20 : 9,669.30 = 5,409.40 : x
  2. Step 2: Convert to fraction form
    6,446.20/9,669.30 = 5,409.40/x
  3. Step 3: Cross multiply
    6,446.20x = 9,669.30 × 5,409.40
  4. Step 4: Simplify right side
    6,446.20x = 52,305,111.42
  5. Step 5: Solve for x
    x = 52,305,111.42/6,446.20
  6. Step 6: Final answer
    x = 8,114.10

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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.