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Finding the Fourth Proportional to 6,422.40, 9,640.80 and 3,827.52

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Solution

The fourth proportional to 6,422.40, 9,640.80 and 3,827.52 is: 5,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.40 : 9,640.80 = 3,827.52 : x
  2. Step 2: Convert to fraction form
    6,422.40/9,640.80 = 3,827.52/x
  3. Step 3: Cross multiply
    6,422.40x = 9,640.80 × 3,827.52
  4. Step 4: Simplify right side
    6,422.40x = 36,900,354.82
  5. Step 5: Solve for x
    x = 36,900,354.82/6,422.40
  6. Step 6: Final answer
    x = 5,745.57

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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.