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Finding the Fourth Proportional to 6,865.64, 9,474.59 and 3,721.83

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Solution

The fourth proportional to 6,865.64, 9,474.59 and 3,721.83 is: 5,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.64 : 9,474.59 = 3,721.83 : x
  2. Step 2: Convert to fraction form
    6,865.64/9,474.59 = 3,721.83/x
  3. Step 3: Cross multiply
    6,865.64x = 9,474.59 × 3,721.83
  4. Step 4: Simplify right side
    6,865.64x = 35,262,765.93
  5. Step 5: Solve for x
    x = 35,262,765.93/6,865.64
  6. Step 6: Final answer
    x = 5,136.12

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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.