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Finding the Fourth Proportional to 7,227, 9,913.29 and 7,164.60

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Solution

The fourth proportional to 7,227, 9,913.29 and 7,164.60 is: 9,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227 : 9,913.29 = 7,164.60 : x
  2. Step 2: Convert to fraction form
    7,227/9,913.29 = 7,164.60/x
  3. Step 3: Cross multiply
    7,227x = 9,913.29 × 7,164.60
  4. Step 4: Simplify right side
    7,227x = 71,024,757.53
  5. Step 5: Solve for x
    x = 71,024,757.53/7,227
  6. Step 6: Final answer
    x = 9,827.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.