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Finding the Fourth Proportional to 9,046.20, 13,571.70 and 3,202.20

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Solution

The fourth proportional to 9,046.20, 13,571.70 and 3,202.20 is: 4,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.20 : 13,571.70 = 3,202.20 : x
  2. Step 2: Convert to fraction form
    9,046.20/13,571.70 = 3,202.20/x
  3. Step 3: Cross multiply
    9,046.20x = 13,571.70 × 3,202.20
  4. Step 4: Simplify right side
    9,046.20x = 43,459,297.74
  5. Step 5: Solve for x
    x = 43,459,297.74/9,046.20
  6. Step 6: Final answer
    x = 4,804.15

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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.