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Finding the Fourth Proportional to 6,322.82, 9,485.42 and 2,426.90

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Solution

The fourth proportional to 6,322.82, 9,485.42 and 2,426.90 is: 3,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.82 : 9,485.42 = 2,426.90 : x
  2. Step 2: Convert to fraction form
    6,322.82/9,485.42 = 2,426.90/x
  3. Step 3: Cross multiply
    6,322.82x = 9,485.42 × 2,426.90
  4. Step 4: Simplify right side
    6,322.82x = 23,020,106.24
  5. Step 5: Solve for x
    x = 23,020,106.24/6,322.82
  6. Step 6: Final answer
    x = 3,640.80

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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.