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Finding the Fourth Proportional to 9,075.44, 12,524.32 and 5,096.84

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Solution

The fourth proportional to 9,075.44, 12,524.32 and 5,096.84 is: 7,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.44 : 12,524.32 = 5,096.84 : x
  2. Step 2: Convert to fraction form
    9,075.44/12,524.32 = 5,096.84/x
  3. Step 3: Cross multiply
    9,075.44x = 12,524.32 × 5,096.84
  4. Step 4: Simplify right side
    9,075.44x = 63,834,455.15
  5. Step 5: Solve for x
    x = 63,834,455.15/9,075.44
  6. Step 6: Final answer
    x = 7,033.76

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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.