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Finding the Fourth Proportional to 6,400.28, 8,832.36 and 3,567.62

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Solution

The fourth proportional to 6,400.28, 8,832.36 and 3,567.62 is: 4,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.28 : 8,832.36 = 3,567.62 : x
  2. Step 2: Convert to fraction form
    6,400.28/8,832.36 = 3,567.62/x
  3. Step 3: Cross multiply
    6,400.28x = 8,832.36 × 3,567.62
  4. Step 4: Simplify right side
    6,400.28x = 31,510,539.64
  5. Step 5: Solve for x
    x = 31,510,539.64/6,400.28
  6. Step 6: Final answer
    x = 4,923.30

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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.