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Finding the Fourth Proportional to 9,474.70, 13,075.19 and 5,225.94

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Solution

The fourth proportional to 9,474.70, 13,075.19 and 5,225.94 is: 7,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.70 : 13,075.19 = 5,225.94 : x
  2. Step 2: Convert to fraction form
    9,474.70/13,075.19 = 5,225.94/x
  3. Step 3: Cross multiply
    9,474.70x = 13,075.19 × 5,225.94
  4. Step 4: Simplify right side
    9,474.70x = 68,330,181.33
  5. Step 5: Solve for x
    x = 68,330,181.33/9,474.70
  6. Step 6: Final answer
    x = 7,211.86

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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.