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Finding the Fourth Proportional to 6,072.89, 9,088.76 and 3,734.38

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Solution

The fourth proportional to 6,072.89, 9,088.76 and 3,734.38 is: 5,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.89 : 9,088.76 = 3,734.38 : x
  2. Step 2: Convert to fraction form
    6,072.89/9,088.76 = 3,734.38/x
  3. Step 3: Cross multiply
    6,072.89x = 9,088.76 × 3,734.38
  4. Step 4: Simplify right side
    6,072.89x = 33,940,839.14
  5. Step 5: Solve for x
    x = 33,940,839.14/6,072.89
  6. Step 6: Final answer
    x = 5,588.91

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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.