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Finding the Fourth Proportional to 6,320.72, 8,723.40 and 3,838.16

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Solution

The fourth proportional to 6,320.72, 8,723.40 and 3,838.16 is: 5,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.72 : 8,723.40 = 3,838.16 : x
  2. Step 2: Convert to fraction form
    6,320.72/8,723.40 = 3,838.16/x
  3. Step 3: Cross multiply
    6,320.72x = 8,723.40 × 3,838.16
  4. Step 4: Simplify right side
    6,320.72x = 33,481,804.94
  5. Step 5: Solve for x
    x = 33,481,804.94/6,320.72
  6. Step 6: Final answer
    x = 5,297.15

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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.