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Finding the Fourth Proportional to 7,046.87, 9,725.06 and 4,022.88

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Solution

The fourth proportional to 7,046.87, 9,725.06 and 4,022.88 is: 5,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.87 : 9,725.06 = 4,022.88 : x
  2. Step 2: Convert to fraction form
    7,046.87/9,725.06 = 4,022.88/x
  3. Step 3: Cross multiply
    7,046.87x = 9,725.06 × 4,022.88
  4. Step 4: Simplify right side
    7,046.87x = 39,122,777.66
  5. Step 5: Solve for x
    x = 39,122,777.66/7,046.87
  6. Step 6: Final answer
    x = 5,551.80

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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.