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Finding the Fourth Proportional to 6,972.98, 9,622.68 and 3,829.14

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Solution

The fourth proportional to 6,972.98, 9,622.68 and 3,829.14 is: 5,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.98 : 9,622.68 = 3,829.14 : x
  2. Step 2: Convert to fraction form
    6,972.98/9,622.68 = 3,829.14/x
  3. Step 3: Cross multiply
    6,972.98x = 9,622.68 × 3,829.14
  4. Step 4: Simplify right side
    6,972.98x = 36,846,588.90
  5. Step 5: Solve for x
    x = 36,846,588.90/6,972.98
  6. Step 6: Final answer
    x = 5,284.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.