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Finding the Fourth Proportional to 6,423.84, 9,629.16 and 3,086.16

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Solution

The fourth proportional to 6,423.84, 9,629.16 and 3,086.16 is: 4,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.84 : 9,629.16 = 3,086.16 : x
  2. Step 2: Convert to fraction form
    6,423.84/9,629.16 = 3,086.16/x
  3. Step 3: Cross multiply
    6,423.84x = 9,629.16 × 3,086.16
  4. Step 4: Simplify right side
    6,423.84x = 29,717,128.43
  5. Step 5: Solve for x
    x = 29,717,128.43/6,423.84
  6. Step 6: Final answer
    x = 4,626.07

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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.