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Finding the Fourth Proportional to 6,890.92, 9,509.40 and 3,747.04

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Solution

The fourth proportional to 6,890.92, 9,509.40 and 3,747.04 is: 5,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.92 : 9,509.40 = 3,747.04 : x
  2. Step 2: Convert to fraction form
    6,890.92/9,509.40 = 3,747.04/x
  3. Step 3: Cross multiply
    6,890.92x = 9,509.40 × 3,747.04
  4. Step 4: Simplify right side
    6,890.92x = 35,632,102.18
  5. Step 5: Solve for x
    x = 35,632,102.18/6,890.92
  6. Step 6: Final answer
    x = 5,170.88

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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.