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Finding the Fourth Proportional to 8,209.64, 11,329.37 and 4,673.07

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Solution

The fourth proportional to 8,209.64, 11,329.37 and 4,673.07 is: 6,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.64 : 11,329.37 = 4,673.07 : x
  2. Step 2: Convert to fraction form
    8,209.64/11,329.37 = 4,673.07/x
  3. Step 3: Cross multiply
    8,209.64x = 11,329.37 × 4,673.07
  4. Step 4: Simplify right side
    8,209.64x = 52,942,915.70
  5. Step 5: Solve for x
    x = 52,942,915.70/8,209.64
  6. Step 6: Final answer
    x = 6,448.88

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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.