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Finding the Fourth Proportional to 9,287.88, 13,936.06 and 5,072.46

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Solution

The fourth proportional to 9,287.88, 13,936.06 and 5,072.46 is: 7,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.88 : 13,936.06 = 5,072.46 : x
  2. Step 2: Convert to fraction form
    9,287.88/13,936.06 = 5,072.46/x
  3. Step 3: Cross multiply
    9,287.88x = 13,936.06 × 5,072.46
  4. Step 4: Simplify right side
    9,287.88x = 70,690,106.91
  5. Step 5: Solve for x
    x = 70,690,106.91/9,287.88
  6. Step 6: Final answer
    x = 7,611.01

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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.