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Finding the Fourth Proportional to 7,033.65, 9,706.49 and 3,847.01

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Solution

The fourth proportional to 7,033.65, 9,706.49 and 3,847.01 is: 5,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.65 : 9,706.49 = 3,847.01 : x
  2. Step 2: Convert to fraction form
    7,033.65/9,706.49 = 3,847.01/x
  3. Step 3: Cross multiply
    7,033.65x = 9,706.49 × 3,847.01
  4. Step 4: Simplify right side
    7,033.65x = 37,340,910.75
  5. Step 5: Solve for x
    x = 37,340,910.75/7,033.65
  6. Step 6: Final answer
    x = 5,308.90

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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.