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Finding the Fourth Proportional to 6,650.40, 9,174.98 and 3,816.75

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Solution

The fourth proportional to 6,650.40, 9,174.98 and 3,816.75 is: 5,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.40 : 9,174.98 = 3,816.75 : x
  2. Step 2: Convert to fraction form
    6,650.40/9,174.98 = 3,816.75/x
  3. Step 3: Cross multiply
    6,650.40x = 9,174.98 × 3,816.75
  4. Step 4: Simplify right side
    6,650.40x = 35,018,539.96
  5. Step 5: Solve for x
    x = 35,018,539.96/6,650.40
  6. Step 6: Final answer
    x = 5,265.63

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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.