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Finding the Fourth Proportional to 9,206.60, 12,740.10 and 7,967.30

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Solution

The fourth proportional to 9,206.60, 12,740.10 and 7,967.30 is: 11,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.60 : 12,740.10 = 7,967.30 : x
  2. Step 2: Convert to fraction form
    9,206.60/12,740.10 = 7,967.30/x
  3. Step 3: Cross multiply
    9,206.60x = 12,740.10 × 7,967.30
  4. Step 4: Simplify right side
    9,206.60x = 101,504,198.73
  5. Step 5: Solve for x
    x = 101,504,198.73/9,206.60
  6. Step 6: Final answer
    x = 11,025.16

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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.