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Finding the Fourth Proportional to 9,286.71, 12,813.84 and 5,509.17

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Solution

The fourth proportional to 9,286.71, 12,813.84 and 5,509.17 is: 7,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.71 : 12,813.84 = 5,509.17 : x
  2. Step 2: Convert to fraction form
    9,286.71/12,813.84 = 5,509.17/x
  3. Step 3: Cross multiply
    9,286.71x = 12,813.84 × 5,509.17
  4. Step 4: Simplify right side
    9,286.71x = 70,593,622.91
  5. Step 5: Solve for x
    x = 70,593,622.91/9,286.71
  6. Step 6: Final answer
    x = 7,601.58

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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.