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Finding the Fourth Proportional to 6,952.26, 10,428.39 and 3,206.01

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Solution

The fourth proportional to 6,952.26, 10,428.39 and 3,206.01 is: 4,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.26 : 10,428.39 = 3,206.01 : x
  2. Step 2: Convert to fraction form
    6,952.26/10,428.39 = 3,206.01/x
  3. Step 3: Cross multiply
    6,952.26x = 10,428.39 × 3,206.01
  4. Step 4: Simplify right side
    6,952.26x = 33,433,522.62
  5. Step 5: Solve for x
    x = 33,433,522.62/6,952.26
  6. Step 6: Final answer
    x = 4,809.02

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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.