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Finding the Fourth Proportional to 6,346.80, 9,523.80 and 2,451.48

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Solution

The fourth proportional to 6,346.80, 9,523.80 and 2,451.48 is: 3,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.80 : 9,523.80 = 2,451.48 : x
  2. Step 2: Convert to fraction form
    6,346.80/9,523.80 = 2,451.48/x
  3. Step 3: Cross multiply
    6,346.80x = 9,523.80 × 2,451.48
  4. Step 4: Simplify right side
    6,346.80x = 23,347,405.22
  5. Step 5: Solve for x
    x = 23,347,405.22/6,346.80
  6. Step 6: Final answer
    x = 3,678.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.