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Finding the Fourth Proportional to 9,280.80, 13,925.20 and 6,161.92

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Solution

The fourth proportional to 9,280.80, 13,925.20 and 6,161.92 is: 9,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.80 : 13,925.20 = 6,161.92 : x
  2. Step 2: Convert to fraction form
    9,280.80/13,925.20 = 6,161.92/x
  3. Step 3: Cross multiply
    9,280.80x = 13,925.20 × 6,161.92
  4. Step 4: Simplify right side
    9,280.80x = 85,805,968.38
  5. Step 5: Solve for x
    x = 85,805,968.38/9,280.80
  6. Step 6: Final answer
    x = 9,245.54

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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.