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Finding the Fourth Proportional to 6,717.94, 9,270.69 and 3,734.03

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Solution

The fourth proportional to 6,717.94, 9,270.69 and 3,734.03 is: 5,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.94 : 9,270.69 = 3,734.03 : x
  2. Step 2: Convert to fraction form
    6,717.94/9,270.69 = 3,734.03/x
  3. Step 3: Cross multiply
    6,717.94x = 9,270.69 × 3,734.03
  4. Step 4: Simplify right side
    6,717.94x = 34,617,043.75
  5. Step 5: Solve for x
    x = 34,617,043.75/6,717.94
  6. Step 6: Final answer
    x = 5,152.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.