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Finding the Fourth Proportional to 9,075.65, 12,524.63 and 5,096.82

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Solution

The fourth proportional to 9,075.65, 12,524.63 and 5,096.82 is: 7,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.65 : 12,524.63 = 5,096.82 : x
  2. Step 2: Convert to fraction form
    9,075.65/12,524.63 = 5,096.82/x
  3. Step 3: Cross multiply
    9,075.65x = 12,524.63 × 5,096.82
  4. Step 4: Simplify right side
    9,075.65x = 63,835,806.16
  5. Step 5: Solve for x
    x = 63,835,806.16/9,075.65
  6. Step 6: Final answer
    x = 7,033.75

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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.