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Finding the Fourth Proportional to 7,033.87, 9,706.62 and 3,890.06

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Solution

The fourth proportional to 7,033.87, 9,706.62 and 3,890.06 is: 5,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.87 : 9,706.62 = 3,890.06 : x
  2. Step 2: Convert to fraction form
    7,033.87/9,706.62 = 3,890.06/x
  3. Step 3: Cross multiply
    7,033.87x = 9,706.62 × 3,890.06
  4. Step 4: Simplify right side
    7,033.87x = 37,759,266.21
  5. Step 5: Solve for x
    x = 37,759,266.21/7,033.87
  6. Step 6: Final answer
    x = 5,368.21

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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.