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Finding the Fourth Proportional to 7,111.62, 9,813.06 and 3,967.20

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Solution

The fourth proportional to 7,111.62, 9,813.06 and 3,967.20 is: 5,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.62 : 9,813.06 = 3,967.20 : x
  2. Step 2: Convert to fraction form
    7,111.62/9,813.06 = 3,967.20/x
  3. Step 3: Cross multiply
    7,111.62x = 9,813.06 × 3,967.20
  4. Step 4: Simplify right side
    7,111.62x = 38,930,371.63
  5. Step 5: Solve for x
    x = 38,930,371.63/7,111.62
  6. Step 6: Final answer
    x = 5,474.19

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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.