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Finding the Fourth Proportional to 7,174.96, 9,898.68 and 5,291

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Solution

The fourth proportional to 7,174.96, 9,898.68 and 5,291 is: 7,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.96 : 9,898.68 = 5,291 : x
  2. Step 2: Convert to fraction form
    7,174.96/9,898.68 = 5,291/x
  3. Step 3: Cross multiply
    7,174.96x = 9,898.68 × 5,291
  4. Step 4: Simplify right side
    7,174.96x = 52,373,915.88
  5. Step 5: Solve for x
    x = 52,373,915.88/7,174.96
  6. Step 6: Final answer
    x = 7,299.54

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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.