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Finding the Fourth Proportional to 7,106.82, 9,807.27 and 3,962.94

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Solution

The fourth proportional to 7,106.82, 9,807.27 and 3,962.94 is: 5,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.82 : 9,807.27 = 3,962.94 : x
  2. Step 2: Convert to fraction form
    7,106.82/9,807.27 = 3,962.94/x
  3. Step 3: Cross multiply
    7,106.82x = 9,807.27 × 3,962.94
  4. Step 4: Simplify right side
    7,106.82x = 38,865,622.57
  5. Step 5: Solve for x
    x = 38,865,622.57/7,106.82
  6. Step 6: Final answer
    x = 5,468.78

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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.