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Finding the Fourth Proportional to 6,447.55, 9,665.14 and 4,100.28

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Solution

The fourth proportional to 6,447.55, 9,665.14 and 4,100.28 is: 6,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.55 : 9,665.14 = 4,100.28 : x
  2. Step 2: Convert to fraction form
    6,447.55/9,665.14 = 4,100.28/x
  3. Step 3: Cross multiply
    6,447.55x = 9,665.14 × 4,100.28
  4. Step 4: Simplify right side
    6,447.55x = 39,629,780.24
  5. Step 5: Solve for x
    x = 39,629,780.24/6,447.55
  6. Step 6: Final answer
    x = 6,146.49

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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.