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Finding the Fourth Proportional to 7,111.14, 9,813.36 and 3,967.34

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Solution

The fourth proportional to 7,111.14, 9,813.36 and 3,967.34 is: 5,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.14 : 9,813.36 = 3,967.34 : x
  2. Step 2: Convert to fraction form
    7,111.14/9,813.36 = 3,967.34/x
  3. Step 3: Cross multiply
    7,111.14x = 9,813.36 × 3,967.34
  4. Step 4: Simplify right side
    7,111.14x = 38,932,935.66
  5. Step 5: Solve for x
    x = 38,932,935.66/7,111.14
  6. Step 6: Final answer
    x = 5,474.92

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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.