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Finding the Fourth Proportional to 6,972.85, 9,622.47 and 3,829.09

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Solution

The fourth proportional to 6,972.85, 9,622.47 and 3,829.09 is: 5,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.85 : 9,622.47 = 3,829.09 : x
  2. Step 2: Convert to fraction form
    6,972.85/9,622.47 = 3,829.09/x
  3. Step 3: Cross multiply
    6,972.85x = 9,622.47 × 3,829.09
  4. Step 4: Simplify right side
    6,972.85x = 36,845,303.65
  5. Step 5: Solve for x
    x = 36,845,303.65/6,972.85
  6. Step 6: Final answer
    x = 5,284.11

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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.