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Finding the Fourth Proportional to 9,520.68, 14,280.22 and 3,280.68

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Solution

The fourth proportional to 9,520.68, 14,280.22 and 3,280.68 is: 4,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.68 : 14,280.22 = 3,280.68 : x
  2. Step 2: Convert to fraction form
    9,520.68/14,280.22 = 3,280.68/x
  3. Step 3: Cross multiply
    9,520.68x = 14,280.22 × 3,280.68
  4. Step 4: Simplify right side
    9,520.68x = 46,848,832.15
  5. Step 5: Solve for x
    x = 46,848,832.15/9,520.68
  6. Step 6: Final answer
    x = 4,920.74

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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.