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Finding the Fourth Proportional to 6,267.64, 9,399.92 and 2,570.92

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Solution

The fourth proportional to 6,267.64, 9,399.92 and 2,570.92 is: 3,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.64 : 9,399.92 = 2,570.92 : x
  2. Step 2: Convert to fraction form
    6,267.64/9,399.92 = 2,570.92/x
  3. Step 3: Cross multiply
    6,267.64x = 9,399.92 × 2,570.92
  4. Step 4: Simplify right side
    6,267.64x = 24,166,441.22
  5. Step 5: Solve for x
    x = 24,166,441.22/6,267.64
  6. Step 6: Final answer
    x = 3,855.75

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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.