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Finding the Fourth Proportional to 6,816.84, 9,407.52 and 3,832.67

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Solution

The fourth proportional to 6,816.84, 9,407.52 and 3,832.67 is: 5,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.84 : 9,407.52 = 3,832.67 : x
  2. Step 2: Convert to fraction form
    6,816.84/9,407.52 = 3,832.67/x
  3. Step 3: Cross multiply
    6,816.84x = 9,407.52 × 3,832.67
  4. Step 4: Simplify right side
    6,816.84x = 36,055,853.48
  5. Step 5: Solve for x
    x = 36,055,853.48/6,816.84
  6. Step 6: Final answer
    x = 5,289.23

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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.