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Finding the Fourth Proportional to 6,864.88, 9,474.02 and 3,880.99

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Solution

The fourth proportional to 6,864.88, 9,474.02 and 3,880.99 is: 5,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.88 : 9,474.02 = 3,880.99 : x
  2. Step 2: Convert to fraction form
    6,864.88/9,474.02 = 3,880.99/x
  3. Step 3: Cross multiply
    6,864.88x = 9,474.02 × 3,880.99
  4. Step 4: Simplify right side
    6,864.88x = 36,768,576.88
  5. Step 5: Solve for x
    x = 36,768,576.88/6,864.88
  6. Step 6: Final answer
    x = 5,356.04

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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.