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Finding the Fourth Proportional to 6,647.30, 9,174.60 and 3,816.59

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Solution

The fourth proportional to 6,647.30, 9,174.60 and 3,816.59 is: 5,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.30 : 9,174.60 = 3,816.59 : x
  2. Step 2: Convert to fraction form
    6,647.30/9,174.60 = 3,816.59/x
  3. Step 3: Cross multiply
    6,647.30x = 9,174.60 × 3,816.59
  4. Step 4: Simplify right side
    6,647.30x = 35,015,640.74
  5. Step 5: Solve for x
    x = 35,015,640.74/6,647.30
  6. Step 6: Final answer
    x = 5,267.65

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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.