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Finding the Fourth Proportional to 7,111.22, 9,813.49 and 3,967.41

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Solution

The fourth proportional to 7,111.22, 9,813.49 and 3,967.41 is: 5,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.22 : 9,813.49 = 3,967.41 : x
  2. Step 2: Convert to fraction form
    7,111.22/9,813.49 = 3,967.41/x
  3. Step 3: Cross multiply
    7,111.22x = 9,813.49 × 3,967.41
  4. Step 4: Simplify right side
    7,111.22x = 38,934,128.44
  5. Step 5: Solve for x
    x = 38,934,128.44/7,111.22
  6. Step 6: Final answer
    x = 5,475.03

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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.