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Finding the Fourth Proportional to 7,069.26, 9,754.84 and 4,086.06

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Solution

The fourth proportional to 7,069.26, 9,754.84 and 4,086.06 is: 5,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.26 : 9,754.84 = 4,086.06 : x
  2. Step 2: Convert to fraction form
    7,069.26/9,754.84 = 4,086.06/x
  3. Step 3: Cross multiply
    7,069.26x = 9,754.84 × 4,086.06
  4. Step 4: Simplify right side
    7,069.26x = 39,858,861.53
  5. Step 5: Solve for x
    x = 39,858,861.53/7,069.26
  6. Step 6: Final answer
    x = 5,638.34

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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.