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Finding the Fourth Proportional to 6,433.72, 9,645.10 and 6,127.54

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Solution

The fourth proportional to 6,433.72, 9,645.10 and 6,127.54 is: 9,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.72 : 9,645.10 = 6,127.54 : x
  2. Step 2: Convert to fraction form
    6,433.72/9,645.10 = 6,127.54/x
  3. Step 3: Cross multiply
    6,433.72x = 9,645.10 × 6,127.54
  4. Step 4: Simplify right side
    6,433.72x = 59,100,736.05
  5. Step 5: Solve for x
    x = 59,100,736.05/6,433.72
  6. Step 6: Final answer
    x = 9,186.09

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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.