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Finding the Fourth Proportional to 6,438.24, 9,639.16 and 4,092.44

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Solution

The fourth proportional to 6,438.24, 9,639.16 and 4,092.44 is: 6,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.24 : 9,639.16 = 4,092.44 : x
  2. Step 2: Convert to fraction form
    6,438.24/9,639.16 = 4,092.44/x
  3. Step 3: Cross multiply
    6,438.24x = 9,639.16 × 4,092.44
  4. Step 4: Simplify right side
    6,438.24x = 39,447,683.95
  5. Step 5: Solve for x
    x = 39,447,683.95/6,438.24
  6. Step 6: Final answer
    x = 6,127.09

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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.