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Finding the Fourth Proportional to 8,914.28, 12,296.94 and 5,765

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Solution

The fourth proportional to 8,914.28, 12,296.94 and 5,765 is: 7,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.28 : 12,296.94 = 5,765 : x
  2. Step 2: Convert to fraction form
    8,914.28/12,296.94 = 5,765/x
  3. Step 3: Cross multiply
    8,914.28x = 12,296.94 × 5,765
  4. Step 4: Simplify right side
    8,914.28x = 70,891,859.10
  5. Step 5: Solve for x
    x = 70,891,859.10/8,914.28
  6. Step 6: Final answer
    x = 7,952.62

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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.