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Finding the Fourth Proportional to 6,320.78, 9,469.82 and 3,722.30

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Solution

The fourth proportional to 6,320.78, 9,469.82 and 3,722.30 is: 5,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.78 : 9,469.82 = 3,722.30 : x
  2. Step 2: Convert to fraction form
    6,320.78/9,469.82 = 3,722.30/x
  3. Step 3: Cross multiply
    6,320.78x = 9,469.82 × 3,722.30
  4. Step 4: Simplify right side
    6,320.78x = 35,249,510.99
  5. Step 5: Solve for x
    x = 35,249,510.99/6,320.78
  6. Step 6: Final answer
    x = 5,576.77

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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.