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Finding the Fourth Proportional to 6,735.62, 9,300.90 and 4,221.94

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Solution

The fourth proportional to 6,735.62, 9,300.90 and 4,221.94 is: 5,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.62 : 9,300.90 = 4,221.94 : x
  2. Step 2: Convert to fraction form
    6,735.62/9,300.90 = 4,221.94/x
  3. Step 3: Cross multiply
    6,735.62x = 9,300.90 × 4,221.94
  4. Step 4: Simplify right side
    6,735.62x = 39,267,800.65
  5. Step 5: Solve for x
    x = 39,267,800.65/6,735.62
  6. Step 6: Final answer
    x = 5,829.87

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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.