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Finding the Fourth Proportional to 6,399.64, 8,832.15 and 3,567.48

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Solution

The fourth proportional to 6,399.64, 8,832.15 and 3,567.48 is: 4,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.64 : 8,832.15 = 3,567.48 : x
  2. Step 2: Convert to fraction form
    6,399.64/8,832.15 = 3,567.48/x
  3. Step 3: Cross multiply
    6,399.64x = 8,832.15 × 3,567.48
  4. Step 4: Simplify right side
    6,399.64x = 31,508,518.48
  5. Step 5: Solve for x
    x = 31,508,518.48/6,399.64
  6. Step 6: Final answer
    x = 4,923.48

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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.