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Finding the Fourth Proportional to 6,423.72, 9,628.66 and 4,201.71

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Solution

The fourth proportional to 6,423.72, 9,628.66 and 4,201.71 is: 6,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.72 : 9,628.66 = 4,201.71 : x
  2. Step 2: Convert to fraction form
    6,423.72/9,628.66 = 4,201.71/x
  3. Step 3: Cross multiply
    6,423.72x = 9,628.66 × 4,201.71
  4. Step 4: Simplify right side
    6,423.72x = 40,456,837.01
  5. Step 5: Solve for x
    x = 40,456,837.01/6,423.72
  6. Step 6: Final answer
    x = 6,298.04

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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.