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Finding the Fourth Proportional to 9,075.75, 13,601.75 and 6,172.71

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Solution

The fourth proportional to 9,075.75, 13,601.75 and 6,172.71 is: 9,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.75 : 13,601.75 = 6,172.71 : x
  2. Step 2: Convert to fraction form
    9,075.75/13,601.75 = 6,172.71/x
  3. Step 3: Cross multiply
    9,075.75x = 13,601.75 × 6,172.71
  4. Step 4: Simplify right side
    9,075.75x = 83,959,627.38
  5. Step 5: Solve for x
    x = 83,959,627.38/9,075.75
  6. Step 6: Final answer
    x = 9,250.99

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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.