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Finding the Fourth Proportional to 6,872.36, 9,477.59 and 5,812.34

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Solution

The fourth proportional to 6,872.36, 9,477.59 and 5,812.34 is: 8,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.36 : 9,477.59 = 5,812.34 : x
  2. Step 2: Convert to fraction form
    6,872.36/9,477.59 = 5,812.34/x
  3. Step 3: Cross multiply
    6,872.36x = 9,477.59 × 5,812.34
  4. Step 4: Simplify right side
    6,872.36x = 55,086,975.46
  5. Step 5: Solve for x
    x = 55,086,975.46/6,872.36
  6. Step 6: Final answer
    x = 8,015.73

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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.