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Finding the Fourth Proportional to 9,474.75, 13,075.89 and 5,226.19

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Solution

The fourth proportional to 9,474.75, 13,075.89 and 5,226.19 is: 7,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.75 : 13,075.89 = 5,226.19 : x
  2. Step 2: Convert to fraction form
    9,474.75/13,075.89 = 5,226.19/x
  3. Step 3: Cross multiply
    9,474.75x = 13,075.89 × 5,226.19
  4. Step 4: Simplify right side
    9,474.75x = 68,337,085.56
  5. Step 5: Solve for x
    x = 68,337,085.56/9,474.75
  6. Step 6: Final answer
    x = 7,212.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.