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Finding the Fourth Proportional to 6,322.23, 9,490.68 and 3,406.23

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Solution

The fourth proportional to 6,322.23, 9,490.68 and 3,406.23 is: 5,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.23 : 9,490.68 = 3,406.23 : x
  2. Step 2: Convert to fraction form
    6,322.23/9,490.68 = 3,406.23/x
  3. Step 3: Cross multiply
    6,322.23x = 9,490.68 × 3,406.23
  4. Step 4: Simplify right side
    6,322.23x = 32,327,438.94
  5. Step 5: Solve for x
    x = 32,327,438.94/6,322.23
  6. Step 6: Final answer
    x = 5,113.30

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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.