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Finding the Fourth Proportional to 6,644.43, 9,172.04 and 4,549.77

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Solution

The fourth proportional to 6,644.43, 9,172.04 and 4,549.77 is: 6,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.43 : 9,172.04 = 4,549.77 : x
  2. Step 2: Convert to fraction form
    6,644.43/9,172.04 = 4,549.77/x
  3. Step 3: Cross multiply
    6,644.43x = 9,172.04 × 4,549.77
  4. Step 4: Simplify right side
    6,644.43x = 41,730,649.68
  5. Step 5: Solve for x
    x = 41,730,649.68/6,644.43
  6. Step 6: Final answer
    x = 6,280.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.