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Finding the Fourth Proportional to 8,597.44, 12,891.30 and 4,216.96

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Solution

The fourth proportional to 8,597.44, 12,891.30 and 4,216.96 is: 6,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.44 : 12,891.30 = 4,216.96 : x
  2. Step 2: Convert to fraction form
    8,597.44/12,891.30 = 4,216.96/x
  3. Step 3: Cross multiply
    8,597.44x = 12,891.30 × 4,216.96
  4. Step 4: Simplify right side
    8,597.44x = 54,362,096.45
  5. Step 5: Solve for x
    x = 54,362,096.45/8,597.44
  6. Step 6: Final answer
    x = 6,323.06

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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.