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Finding the Fourth Proportional to 9,120.20, 13,672.80 and 4,122.90

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Solution

The fourth proportional to 9,120.20, 13,672.80 and 4,122.90 is: 6,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.20 : 13,672.80 = 4,122.90 : x
  2. Step 2: Convert to fraction form
    9,120.20/13,672.80 = 4,122.90/x
  3. Step 3: Cross multiply
    9,120.20x = 13,672.80 × 4,122.90
  4. Step 4: Simplify right side
    9,120.20x = 56,371,587.12
  5. Step 5: Solve for x
    x = 56,371,587.12/9,120.20
  6. Step 6: Final answer
    x = 6,180.96

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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.