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Finding the Fourth Proportional to 6,478.64, 9,717.49 and 2,529.16

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Solution

The fourth proportional to 6,478.64, 9,717.49 and 2,529.16 is: 3,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.64 : 9,717.49 = 2,529.16 : x
  2. Step 2: Convert to fraction form
    6,478.64/9,717.49 = 2,529.16/x
  3. Step 3: Cross multiply
    6,478.64x = 9,717.49 × 2,529.16
  4. Step 4: Simplify right side
    6,478.64x = 24,577,052.49
  5. Step 5: Solve for x
    x = 24,577,052.49/6,478.64
  6. Step 6: Final answer
    x = 3,793.55

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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.