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Finding the Fourth Proportional to 6,271.71, 9,401.41 and 3,499.71

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Solution

The fourth proportional to 6,271.71, 9,401.41 and 3,499.71 is: 5,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.71 : 9,401.41 = 3,499.71 : x
  2. Step 2: Convert to fraction form
    6,271.71/9,401.41 = 3,499.71/x
  3. Step 3: Cross multiply
    6,271.71x = 9,401.41 × 3,499.71
  4. Step 4: Simplify right side
    6,271.71x = 32,902,208.59
  5. Step 5: Solve for x
    x = 32,902,208.59/6,271.71
  6. Step 6: Final answer
    x = 5,246.13

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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.