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Finding the Fourth Proportional to 7,033.59, 9,706.04 and 3,846.74

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Solution

The fourth proportional to 7,033.59, 9,706.04 and 3,846.74 is: 5,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.59 : 9,706.04 = 3,846.74 : x
  2. Step 2: Convert to fraction form
    7,033.59/9,706.04 = 3,846.74/x
  3. Step 3: Cross multiply
    7,033.59x = 9,706.04 × 3,846.74
  4. Step 4: Simplify right side
    7,033.59x = 37,336,544.55
  5. Step 5: Solve for x
    x = 37,336,544.55/7,033.59
  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.