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Finding the Fourth Proportional to 6,162.30, 9,242.08 and 1,778.80

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Solution

The fourth proportional to 6,162.30, 9,242.08 and 1,778.80 is: 2,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.30 : 9,242.08 = 1,778.80 : x
  2. Step 2: Convert to fraction form
    6,162.30/9,242.08 = 1,778.80/x
  3. Step 3: Cross multiply
    6,162.30x = 9,242.08 × 1,778.80
  4. Step 4: Simplify right side
    6,162.30x = 16,439,811.90
  5. Step 5: Solve for x
    x = 16,439,811.90/6,162.30
  6. Step 6: Final answer
    x = 2,667.80

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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.