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Finding the Fourth Proportional to 6,592.21, 9,887.28 and 2,209.70

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Solution

The fourth proportional to 6,592.21, 9,887.28 and 2,209.70 is: 3,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.21 : 9,887.28 = 2,209.70 : x
  2. Step 2: Convert to fraction form
    6,592.21/9,887.28 = 2,209.70/x
  3. Step 3: Cross multiply
    6,592.21x = 9,887.28 × 2,209.70
  4. Step 4: Simplify right side
    6,592.21x = 21,847,922.62
  5. Step 5: Solve for x
    x = 21,847,922.62/6,592.21
  6. Step 6: Final answer
    x = 3,314.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.