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Finding the Fourth Proportional to 6,795.30, 9,378.50 and 3,811.47

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Solution

The fourth proportional to 6,795.30, 9,378.50 and 3,811.47 is: 5,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.30 : 9,378.50 = 3,811.47 : x
  2. Step 2: Convert to fraction form
    6,795.30/9,378.50 = 3,811.47/x
  3. Step 3: Cross multiply
    6,795.30x = 9,378.50 × 3,811.47
  4. Step 4: Simplify right side
    6,795.30x = 35,745,871.40
  5. Step 5: Solve for x
    x = 35,745,871.40/6,795.30
  6. Step 6: Final answer
    x = 5,260.38

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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.