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Finding the Fourth Proportional to 7,111.33, 9,813.05 and 3,967.45

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Solution

The fourth proportional to 7,111.33, 9,813.05 and 3,967.45 is: 5,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.33 : 9,813.05 = 3,967.45 : x
  2. Step 2: Convert to fraction form
    7,111.33/9,813.05 = 3,967.45/x
  3. Step 3: Cross multiply
    7,111.33x = 9,813.05 × 3,967.45
  4. Step 4: Simplify right side
    7,111.33x = 38,932,755.73
  5. Step 5: Solve for x
    x = 38,932,755.73/7,111.33
  6. Step 6: Final answer
    x = 5,474.75

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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.