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Finding the Fourth Proportional to 6,324.78, 9,465.30 and 3,952.02

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Solution

The fourth proportional to 6,324.78, 9,465.30 and 3,952.02 is: 5,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.78 : 9,465.30 = 3,952.02 : x
  2. Step 2: Convert to fraction form
    6,324.78/9,465.30 = 3,952.02/x
  3. Step 3: Cross multiply
    6,324.78x = 9,465.30 × 3,952.02
  4. Step 4: Simplify right side
    6,324.78x = 37,407,054.91
  5. Step 5: Solve for x
    x = 37,407,054.91/6,324.78
  6. Step 6: Final answer
    x = 5,914.36

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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.