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Finding the Fourth Proportional to 6,208.21, 9,306.36 and 3,980.20

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Solution

The fourth proportional to 6,208.21, 9,306.36 and 3,980.20 is: 5,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.21 : 9,306.36 = 3,980.20 : x
  2. Step 2: Convert to fraction form
    6,208.21/9,306.36 = 3,980.20/x
  3. Step 3: Cross multiply
    6,208.21x = 9,306.36 × 3,980.20
  4. Step 4: Simplify right side
    6,208.21x = 37,041,174.07
  5. Step 5: Solve for x
    x = 37,041,174.07/6,208.21
  6. Step 6: Final answer
    x = 5,966.48

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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.