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Finding the Fourth Proportional to 7,033.64, 9,706.06 and 3,846.31

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Solution

The fourth proportional to 7,033.64, 9,706.06 and 3,846.31 is: 5,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.64 : 9,706.06 = 3,846.31 : x
  2. Step 2: Convert to fraction form
    7,033.64/9,706.06 = 3,846.31/x
  3. Step 3: Cross multiply
    7,033.64x = 9,706.06 × 3,846.31
  4. Step 4: Simplify right side
    7,033.64x = 37,332,528.20
  5. Step 5: Solve for x
    x = 37,332,528.20/7,033.64
  6. Step 6: Final answer
    x = 5,307.71

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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.