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Finding the Fourth Proportional to 7,033.50, 9,706.46 and 3,890.30

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Solution

The fourth proportional to 7,033.50, 9,706.46 and 3,890.30 is: 5,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 9,706.46 = 3,890.30 : x
  2. Step 2: Convert to fraction form
    7,033.50/9,706.46 = 3,890.30/x
  3. Step 3: Cross multiply
    7,033.50x = 9,706.46 × 3,890.30
  4. Step 4: Simplify right side
    7,033.50x = 37,760,973.35
  5. Step 5: Solve for x
    x = 37,760,973.35/7,033.50
  6. Step 6: Final answer
    x = 5,368.73

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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.