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Finding the Fourth Proportional to 6,549.37, 9,035.16 and 3,895.27

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Solution

The fourth proportional to 6,549.37, 9,035.16 and 3,895.27 is: 5,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.37 : 9,035.16 = 3,895.27 : x
  2. Step 2: Convert to fraction form
    6,549.37/9,035.16 = 3,895.27/x
  3. Step 3: Cross multiply
    6,549.37x = 9,035.16 × 3,895.27
  4. Step 4: Simplify right side
    6,549.37x = 35,194,387.69
  5. Step 5: Solve for x
    x = 35,194,387.69/6,549.37
  6. Step 6: Final answer
    x = 5,373.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.