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Finding the Fourth Proportional to 6,342.36, 8,752.24 and 3,470.96

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Solution

The fourth proportional to 6,342.36, 8,752.24 and 3,470.96 is: 4,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.36 : 8,752.24 = 3,470.96 : x
  2. Step 2: Convert to fraction form
    6,342.36/8,752.24 = 3,470.96/x
  3. Step 3: Cross multiply
    6,342.36x = 8,752.24 × 3,470.96
  4. Step 4: Simplify right side
    6,342.36x = 30,378,674.95
  5. Step 5: Solve for x
    x = 30,378,674.95/6,342.36
  6. Step 6: Final answer
    x = 4,789.81

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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.