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Finding the Fourth Proportional to 6,102.14, 9,146.79 and 3,755.97

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Solution

The fourth proportional to 6,102.14, 9,146.79 and 3,755.97 is: 5,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.14 : 9,146.79 = 3,755.97 : x
  2. Step 2: Convert to fraction form
    6,102.14/9,146.79 = 3,755.97/x
  3. Step 3: Cross multiply
    6,102.14x = 9,146.79 × 3,755.97
  4. Step 4: Simplify right side
    6,102.14x = 34,355,068.84
  5. Step 5: Solve for x
    x = 34,355,068.84/6,102.14
  6. Step 6: Final answer
    x = 5,630.01

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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.