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Finding the Fourth Proportional to 9,124.92, 13,688.60 and 3,280.80

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Solution

The fourth proportional to 9,124.92, 13,688.60 and 3,280.80 is: 4,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.92 : 13,688.60 = 3,280.80 : x
  2. Step 2: Convert to fraction form
    9,124.92/13,688.60 = 3,280.80/x
  3. Step 3: Cross multiply
    9,124.92x = 13,688.60 × 3,280.80
  4. Step 4: Simplify right side
    9,124.92x = 44,909,558.88
  5. Step 5: Solve for x
    x = 44,909,558.88/9,124.92
  6. Step 6: Final answer
    x = 4,921.64

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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.