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Finding the Fourth Proportional to 6,866.25, 9,475.43 and 3,722.45

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Solution

The fourth proportional to 6,866.25, 9,475.43 and 3,722.45 is: 5,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.25 : 9,475.43 = 3,722.45 : x
  2. Step 2: Convert to fraction form
    6,866.25/9,475.43 = 3,722.45/x
  3. Step 3: Cross multiply
    6,866.25x = 9,475.43 × 3,722.45
  4. Step 4: Simplify right side
    6,866.25x = 35,271,748.41
  5. Step 5: Solve for x
    x = 35,271,748.41/6,866.25
  6. Step 6: Final answer
    x = 5,136.97

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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.