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Finding the Fourth Proportional to 6,391.26, 9,595.80 and 5,075.82

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Solution

The fourth proportional to 6,391.26, 9,595.80 and 5,075.82 is: 7,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.26 : 9,595.80 = 5,075.82 : x
  2. Step 2: Convert to fraction form
    6,391.26/9,595.80 = 5,075.82/x
  3. Step 3: Cross multiply
    6,391.26x = 9,595.80 × 5,075.82
  4. Step 4: Simplify right side
    6,391.26x = 48,706,553.56
  5. Step 5: Solve for x
    x = 48,706,553.56/6,391.26
  6. Step 6: Final answer
    x = 7,620.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.