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Finding the Fourth Proportional to 6,423.84, 8,863.56 and 4,065.12

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Solution

The fourth proportional to 6,423.84, 8,863.56 and 4,065.12 is: 5,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.84 : 8,863.56 = 4,065.12 : x
  2. Step 2: Convert to fraction form
    6,423.84/8,863.56 = 4,065.12/x
  3. Step 3: Cross multiply
    6,423.84x = 8,863.56 × 4,065.12
  4. Step 4: Simplify right side
    6,423.84x = 36,031,435.03
  5. Step 5: Solve for x
    x = 36,031,435.03/6,423.84
  6. Step 6: Final answer
    x = 5,609.02

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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.