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Finding the Fourth Proportional to 6,269.64, 8,652.21 and 3,436.83

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Solution

The fourth proportional to 6,269.64, 8,652.21 and 3,436.83 is: 4,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.64 : 8,652.21 = 3,436.83 : x
  2. Step 2: Convert to fraction form
    6,269.64/8,652.21 = 3,436.83/x
  3. Step 3: Cross multiply
    6,269.64x = 8,652.21 × 3,436.83
  4. Step 4: Simplify right side
    6,269.64x = 29,736,174.89
  5. Step 5: Solve for x
    x = 29,736,174.89/6,269.64
  6. Step 6: Final answer
    x = 4,742.88

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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.