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Finding the Fourth Proportional to 6,326.48, 9,478.20 and 3,550.16

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Solution

The fourth proportional to 6,326.48, 9,478.20 and 3,550.16 is: 5,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.48 : 9,478.20 = 3,550.16 : x
  2. Step 2: Convert to fraction form
    6,326.48/9,478.20 = 3,550.16/x
  3. Step 3: Cross multiply
    6,326.48x = 9,478.20 × 3,550.16
  4. Step 4: Simplify right side
    6,326.48x = 33,649,126.51
  5. Step 5: Solve for x
    x = 33,649,126.51/6,326.48
  6. Step 6: Final answer
    x = 5,318.78

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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.