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Finding the Fourth Proportional to 7,111.50, 9,813.15 and 3,967.14

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Solution

The fourth proportional to 7,111.50, 9,813.15 and 3,967.14 is: 5,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.50 : 9,813.15 = 3,967.14 : x
  2. Step 2: Convert to fraction form
    7,111.50/9,813.15 = 3,967.14/x
  3. Step 3: Cross multiply
    7,111.50x = 9,813.15 × 3,967.14
  4. Step 4: Simplify right side
    7,111.50x = 38,930,139.89
  5. Step 5: Solve for x
    x = 38,930,139.89/7,111.50
  6. Step 6: Final answer
    x = 5,474.25

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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.