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Finding the Fourth Proportional to 6,269.64, 8,652.27 and 3,475.14

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Solution

The fourth proportional to 6,269.64, 8,652.27 and 3,475.14 is: 4,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.64 : 8,652.27 = 3,475.14 : x
  2. Step 2: Convert to fraction form
    6,269.64/8,652.27 = 3,475.14/x
  3. Step 3: Cross multiply
    6,269.64x = 8,652.27 × 3,475.14
  4. Step 4: Simplify right side
    6,269.64x = 30,067,849.57
  5. Step 5: Solve for x
    x = 30,067,849.57/6,269.64
  6. Step 6: Final answer
    x = 4,795.79

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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.