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Finding the Fourth Proportional to 7,033.57, 9,706.03 and 3,846.72

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Solution

The fourth proportional to 7,033.57, 9,706.03 and 3,846.72 is: 5,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.57 : 9,706.03 = 3,846.72 : x
  2. Step 2: Convert to fraction form
    7,033.57/9,706.03 = 3,846.72/x
  3. Step 3: Cross multiply
    7,033.57x = 9,706.03 × 3,846.72
  4. Step 4: Simplify right side
    7,033.57x = 37,336,406.50
  5. Step 5: Solve for x
    x = 37,336,406.50/7,033.57
  6. Step 6: Final answer
    x = 5,308.32

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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.