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Finding the Fourth Proportional to 6,232.13, 9,352.83 and 2,946.23

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Solution

The fourth proportional to 6,232.13, 9,352.83 and 2,946.23 is: 4,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.13 : 9,352.83 = 2,946.23 : x
  2. Step 2: Convert to fraction form
    6,232.13/9,352.83 = 2,946.23/x
  3. Step 3: Cross multiply
    6,232.13x = 9,352.83 × 2,946.23
  4. Step 4: Simplify right side
    6,232.13x = 27,555,588.33
  5. Step 5: Solve for x
    x = 27,555,588.33/6,232.13
  6. Step 6: Final answer
    x = 4,421.54

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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.