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Finding the Fourth Proportional to 9,640.80, 14,450.40 and 4,093.20

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Solution

The fourth proportional to 9,640.80, 14,450.40 and 4,093.20 is: 6,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,450.40 = 4,093.20 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,450.40 = 4,093.20/x
  3. Step 3: Cross multiply
    9,640.80x = 14,450.40 × 4,093.20
  4. Step 4: Simplify right side
    9,640.80x = 59,148,377.28
  5. Step 5: Solve for x
    x = 59,148,377.28/9,640.80
  6. Step 6: Final answer
    x = 6,135.21

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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.