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Finding the Fourth Proportional to 6,480.13, 8,942.34 and 3,647.56

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Solution

The fourth proportional to 6,480.13, 8,942.34 and 3,647.56 is: 5,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.13 : 8,942.34 = 3,647.56 : x
  2. Step 2: Convert to fraction form
    6,480.13/8,942.34 = 3,647.56/x
  3. Step 3: Cross multiply
    6,480.13x = 8,942.34 × 3,647.56
  4. Step 4: Simplify right side
    6,480.13x = 32,617,721.69
  5. Step 5: Solve for x
    x = 32,617,721.69/6,480.13
  6. Step 6: Final answer
    x = 5,033.50

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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.