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Finding the Fourth Proportional to 6,652.32, 9,183.84 and 4,638.64

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Solution

The fourth proportional to 6,652.32, 9,183.84 and 4,638.64 is: 6,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.32 : 9,183.84 = 4,638.64 : x
  2. Step 2: Convert to fraction form
    6,652.32/9,183.84 = 4,638.64/x
  3. Step 3: Cross multiply
    6,652.32x = 9,183.84 × 4,638.64
  4. Step 4: Simplify right side
    6,652.32x = 42,600,527.58
  5. Step 5: Solve for x
    x = 42,600,527.58/6,652.32
  6. Step 6: Final answer
    x = 6,403.86

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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.